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Finding the Fourth Proportional to 17,404.22, 24,017.91 and 9,446.45

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Solution

The fourth proportional to 17,404.22, 24,017.91 and 9,446.45 is: 13,036.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,404.22 : 24,017.91 = 9,446.45 : x
  2. Step 2: Convert to fraction form
    17,404.22/24,017.91 = 9,446.45/x
  3. Step 3: Cross multiply
    17,404.22x = 24,017.91 × 9,446.45
  4. Step 4: Simplify right side
    17,404.22x = 226,883,818.60
  5. Step 5: Solve for x
    x = 226,883,818.60/17,404.22
  6. Step 6: Final answer
    x = 13,036.14

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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.