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Finding the Fourth Proportional to 12,537.71, 18,807.09 and 10,342.35

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Solution

The fourth proportional to 12,537.71, 18,807.09 and 10,342.35 is: 15,513.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,537.71 : 18,807.09 = 10,342.35 : x
  2. Step 2: Convert to fraction form
    12,537.71/18,807.09 = 10,342.35/x
  3. Step 3: Cross multiply
    12,537.71x = 18,807.09 × 10,342.35
  4. Step 4: Simplify right side
    12,537.71x = 194,509,507.26
  5. Step 5: Solve for x
    x = 194,509,507.26/12,537.71
  6. Step 6: Final answer
    x = 15,513.96

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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.