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Finding the Fourth Proportional to 17,836.03, 24,612.64 and 9,877.78

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Solution

The fourth proportional to 17,836.03, 24,612.64 and 9,877.78 is: 13,630.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,836.03 : 24,612.64 = 9,877.78 : x
  2. Step 2: Convert to fraction form
    17,836.03/24,612.64 = 9,877.78/x
  3. Step 3: Cross multiply
    17,836.03x = 24,612.64 × 9,877.78
  4. Step 4: Simplify right side
    17,836.03x = 243,118,243.14
  5. Step 5: Solve for x
    x = 243,118,243.14/17,836.03
  6. Step 6: Final answer
    x = 13,630.74

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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.