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Finding the Fourth Proportional to 12,347.47, 18,502.62 and 7,411.72

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Solution

The fourth proportional to 12,347.47, 18,502.62 and 7,411.72 is: 11,106.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,347.47 : 18,502.62 = 7,411.72 : x
  2. Step 2: Convert to fraction form
    12,347.47/18,502.62 = 7,411.72/x
  3. Step 3: Cross multiply
    12,347.47x = 18,502.62 × 7,411.72
  4. Step 4: Simplify right side
    12,347.47x = 137,136,238.71
  5. Step 5: Solve for x
    x = 137,136,238.71/12,347.47
  6. Step 6: Final answer
    x = 11,106.42

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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.