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Finding the Fourth Proportional to 13,987.86, 19,302.65 and 7,614.47

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Solution

The fourth proportional to 13,987.86, 19,302.65 and 7,614.47 is: 10,507.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,987.86 : 19,302.65 = 7,614.47 : x
  2. Step 2: Convert to fraction form
    13,987.86/19,302.65 = 7,614.47/x
  3. Step 3: Cross multiply
    13,987.86x = 19,302.65 × 7,614.47
  4. Step 4: Simplify right side
    13,987.86x = 146,979,343.31
  5. Step 5: Solve for x
    x = 146,979,343.31/13,987.86
  6. Step 6: Final answer
    x = 10,507.63

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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.