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Finding the Fourth Proportional to 19,715.96, 29,574.39 and 6,569.39

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Solution

The fourth proportional to 19,715.96, 29,574.39 and 6,569.39 is: 9,854.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,715.96 : 29,574.39 = 6,569.39 : x
  2. Step 2: Convert to fraction form
    19,715.96/29,574.39 = 6,569.39/x
  3. Step 3: Cross multiply
    19,715.96x = 29,574.39 × 6,569.39
  4. Step 4: Simplify right side
    19,715.96x = 194,285,701.92
  5. Step 5: Solve for x
    x = 194,285,701.92/19,715.96
  6. Step 6: Final answer
    x = 9,854.23

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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.