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Finding the Fourth Proportional to 14,510.66, 21,729.04 and 9,565.29

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Solution

The fourth proportional to 14,510.66, 21,729.04 and 9,565.29 is: 14,323.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,510.66 : 21,729.04 = 9,565.29 : x
  2. Step 2: Convert to fraction form
    14,510.66/21,729.04 = 9,565.29/x
  3. Step 3: Cross multiply
    14,510.66x = 21,729.04 × 9,565.29
  4. Step 4: Simplify right side
    14,510.66x = 207,844,545.11
  5. Step 5: Solve for x
    x = 207,844,545.11/14,510.66
  6. Step 6: Final answer
    x = 14,323.58

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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.