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Finding the Fourth Proportional to 19,648.47, 29,477.16 and 6,500.82

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Solution

The fourth proportional to 19,648.47, 29,477.16 and 6,500.82 is: 9,752.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,648.47 : 29,477.16 = 6,500.82 : x
  2. Step 2: Convert to fraction form
    19,648.47/29,477.16 = 6,500.82/x
  3. Step 3: Cross multiply
    19,648.47x = 29,477.16 × 6,500.82
  4. Step 4: Simplify right side
    19,648.47x = 191,625,711.27
  5. Step 5: Solve for x
    x = 191,625,711.27/19,648.47
  6. Step 6: Final answer
    x = 9,752.70

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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.