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Finding the Fourth Proportional to 23,137.60, 31,929.50 and 12,527.14

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Solution

The fourth proportional to 23,137.60, 31,929.50 and 12,527.14 is: 17,287.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,137.60 : 31,929.50 = 12,527.14 : x
  2. Step 2: Convert to fraction form
    23,137.60/31,929.50 = 12,527.14/x
  3. Step 3: Cross multiply
    23,137.60x = 31,929.50 × 12,527.14
  4. Step 4: Simplify right side
    23,137.60x = 399,985,316.63
  5. Step 5: Solve for x
    x = 399,985,316.63/23,137.60
  6. Step 6: Final answer
    x = 17,287.24

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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.