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Finding the Fourth Proportional to 17,654.23, 24,361.05 and 10,580.47

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Solution

The fourth proportional to 17,654.23, 24,361.05 and 10,580.47 is: 14,599.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,654.23 : 24,361.05 = 10,580.47 : x
  2. Step 2: Convert to fraction form
    17,654.23/24,361.05 = 10,580.47/x
  3. Step 3: Cross multiply
    17,654.23x = 24,361.05 × 10,580.47
  4. Step 4: Simplify right side
    17,654.23x = 257,751,358.69
  5. Step 5: Solve for x
    x = 257,751,358.69/17,654.23
  6. Step 6: Final answer
    x = 14,599.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.