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Finding the Fourth Proportional to 14,407.47, 21,613.82 and 7,011.92

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Solution

The fourth proportional to 14,407.47, 21,613.82 and 7,011.92 is: 10,519.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,407.47 : 21,613.82 = 7,011.92 : x
  2. Step 2: Convert to fraction form
    14,407.47/21,613.82 = 7,011.92/x
  3. Step 3: Cross multiply
    14,407.47x = 21,613.82 × 7,011.92
  4. Step 4: Simplify right side
    14,407.47x = 151,554,395.71
  5. Step 5: Solve for x
    x = 151,554,395.71/14,407.47
  6. Step 6: Final answer
    x = 10,519.15

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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.