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Finding the Fourth Proportional to 19,712.90, 29,574.08 and 6,565.39

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Solution

The fourth proportional to 19,712.90, 29,574.08 and 6,565.39 is: 9,849.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,712.90 : 29,574.08 = 6,565.39 : x
  2. Step 2: Convert to fraction form
    19,712.90/29,574.08 = 6,565.39/x
  3. Step 3: Cross multiply
    19,712.90x = 29,574.08 × 6,565.39
  4. Step 4: Simplify right side
    19,712.90x = 194,165,369.09
  5. Step 5: Solve for x
    x = 194,165,369.09/19,712.90
  6. Step 6: Final answer
    x = 9,849.66

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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.