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Finding the Fourth Proportional to 36,941.28, 55,404.96 and 9,924

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Solution

The fourth proportional to 36,941.28, 55,404.96 and 9,924 is: 14,884.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,941.28 : 55,404.96 = 9,924 : x
  2. Step 2: Convert to fraction form
    36,941.28/55,404.96 = 9,924/x
  3. Step 3: Cross multiply
    36,941.28x = 55,404.96 × 9,924
  4. Step 4: Simplify right side
    36,941.28x = 549,838,823.04
  5. Step 5: Solve for x
    x = 549,838,823.04/36,941.28
  6. Step 6: Final answer
    x = 14,884.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.