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Finding the Fourth Proportional to 14,507.91, 20,020.71 and 8,134.47

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Solution

The fourth proportional to 14,507.91, 20,020.71 and 8,134.47 is: 11,225.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,507.91 : 20,020.71 = 8,134.47 : x
  2. Step 2: Convert to fraction form
    14,507.91/20,020.71 = 8,134.47/x
  3. Step 3: Cross multiply
    14,507.91x = 20,020.71 × 8,134.47
  4. Step 4: Simplify right side
    14,507.91x = 162,857,864.87
  5. Step 5: Solve for x
    x = 162,857,864.87/14,507.91
  6. Step 6: Final answer
    x = 11,225.45

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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.