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Finding the Fourth Proportional to 39,417.60, 54,397.44 and 22,656

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Solution

The fourth proportional to 39,417.60, 54,397.44 and 22,656 is: 31,265.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,417.60 : 54,397.44 = 22,656 : x
  2. Step 2: Convert to fraction form
    39,417.60/54,397.44 = 22,656/x
  3. Step 3: Cross multiply
    39,417.60x = 54,397.44 × 22,656
  4. Step 4: Simplify right side
    39,417.60x = 1,232,428,400.64
  5. Step 5: Solve for x
    x = 1,232,428,400.64/39,417.60
  6. Step 6: Final answer
    x = 31,265.94

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