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Finding the Fourth Proportional to 13,138.65, 19,691.51 and 6,566.72

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Solution

The fourth proportional to 13,138.65, 19,691.51 and 6,566.72 is: 9,841.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,138.65 : 19,691.51 = 6,566.72 : x
  2. Step 2: Convert to fraction form
    13,138.65/19,691.51 = 6,566.72/x
  3. Step 3: Cross multiply
    13,138.65x = 19,691.51 × 6,566.72
  4. Step 4: Simplify right side
    13,138.65x = 129,308,501.26
  5. Step 5: Solve for x
    x = 129,308,501.26/13,138.65
  6. Step 6: Final answer
    x = 9,841.84

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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.