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Finding the Fourth Proportional to 19,645.47, 29,472.66 and 6,497.82

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Solution

The fourth proportional to 19,645.47, 29,472.66 and 6,497.82 is: 9,748.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,645.47 : 29,472.66 = 6,497.82 : x
  2. Step 2: Convert to fraction form
    19,645.47/29,472.66 = 6,497.82/x
  3. Step 3: Cross multiply
    19,645.47x = 29,472.66 × 6,497.82
  4. Step 4: Simplify right side
    19,645.47x = 191,508,039.60
  5. Step 5: Solve for x
    x = 191,508,039.60/19,645.47
  6. Step 6: Final answer
    x = 9,748.20

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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.