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Finding the Fourth Proportional to 31,017.24, 42,802.32 and 16,869.72

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Solution

The fourth proportional to 31,017.24, 42,802.32 and 16,869.72 is: 23,279.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,017.24 : 42,802.32 = 16,869.72 : x
  2. Step 2: Convert to fraction form
    31,017.24/42,802.32 = 16,869.72/x
  3. Step 3: Cross multiply
    31,017.24x = 42,802.32 × 16,869.72
  4. Step 4: Simplify right side
    31,017.24x = 722,063,153.75
  5. Step 5: Solve for x
    x = 722,063,153.75/31,017.24
  6. Step 6: Final answer
    x = 23,279.41

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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.