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Finding the Fourth Proportional to 37,886.68, 56,838.24 and 14,513.14

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Solution

The fourth proportional to 37,886.68, 56,838.24 and 14,513.14 is: 21,772.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,886.68 : 56,838.24 = 14,513.14 : x
  2. Step 2: Convert to fraction form
    37,886.68/56,838.24 = 14,513.14/x
  3. Step 3: Cross multiply
    37,886.68x = 56,838.24 × 14,513.14
  4. Step 4: Simplify right side
    37,886.68x = 824,901,334.47
  5. Step 5: Solve for x
    x = 824,901,334.47/37,886.68
  6. Step 6: Final answer
    x = 21,772.86

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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.