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Finding the Fourth Proportional to 17,573.16, 24,253.20 and 10,022.16

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Solution

The fourth proportional to 17,573.16, 24,253.20 and 10,022.16 is: 13,831.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,573.16 : 24,253.20 = 10,022.16 : x
  2. Step 2: Convert to fraction form
    17,573.16/24,253.20 = 10,022.16/x
  3. Step 3: Cross multiply
    17,573.16x = 24,253.20 × 10,022.16
  4. Step 4: Simplify right side
    17,573.16x = 243,069,450.91
  5. Step 5: Solve for x
    x = 243,069,450.91/17,573.16
  6. Step 6: Final answer
    x = 13,831.86

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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.