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Finding the Fourth Proportional to 27,347.83, 37,740 and 14,772.58

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Solution

The fourth proportional to 27,347.83, 37,740 and 14,772.58 is: 20,386.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,347.83 : 37,740 = 14,772.58 : x
  2. Step 2: Convert to fraction form
    27,347.83/37,740 = 14,772.58/x
  3. Step 3: Cross multiply
    27,347.83x = 37,740 × 14,772.58
  4. Step 4: Simplify right side
    27,347.83x = 557,517,169.20
  5. Step 5: Solve for x
    x = 557,517,169.20/27,347.83
  6. Step 6: Final answer
    x = 20,386.16

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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.