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Finding the Fourth Proportional to 12,369.29, 18,510.14 and 7,691.51

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Solution

The fourth proportional to 12,369.29, 18,510.14 and 7,691.51 is: 11,510.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,369.29 : 18,510.14 = 7,691.51 : x
  2. Step 2: Convert to fraction form
    12,369.29/18,510.14 = 7,691.51/x
  3. Step 3: Cross multiply
    12,369.29x = 18,510.14 × 7,691.51
  4. Step 4: Simplify right side
    12,369.29x = 142,370,834.36
  5. Step 5: Solve for x
    x = 142,370,834.36/12,369.29
  6. Step 6: Final answer
    x = 11,510.02

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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.