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Finding the Fourth Proportional to 14,545.14, 20,069.16 and 8,574.64

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Solution

The fourth proportional to 14,545.14, 20,069.16 and 8,574.64 is: 11,831.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,545.14 : 20,069.16 = 8,574.64 : x
  2. Step 2: Convert to fraction form
    14,545.14/20,069.16 = 8,574.64/x
  3. Step 3: Cross multiply
    14,545.14x = 20,069.16 × 8,574.64
  4. Step 4: Simplify right side
    14,545.14x = 172,085,822.10
  5. Step 5: Solve for x
    x = 172,085,822.10/14,545.14
  6. Step 6: Final answer
    x = 11,831.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.