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Finding the Fourth Proportional to 23,097.98, 31,880.17 and 14,594.70

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Solution

The fourth proportional to 23,097.98, 31,880.17 and 14,594.70 is: 20,143.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,097.98 : 31,880.17 = 14,594.70 : x
  2. Step 2: Convert to fraction form
    23,097.98/31,880.17 = 14,594.70/x
  3. Step 3: Cross multiply
    23,097.98x = 31,880.17 × 14,594.70
  4. Step 4: Simplify right side
    23,097.98x = 465,281,393.47
  5. Step 5: Solve for x
    x = 465,281,393.47/23,097.98
  6. Step 6: Final answer
    x = 20,143.82

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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.