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Finding the Fourth Proportional to 23,114.80, 31,898.40 and 12,504.46

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Solution

The fourth proportional to 23,114.80, 31,898.40 and 12,504.46 is: 17,256.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,114.80 : 31,898.40 = 12,504.46 : x
  2. Step 2: Convert to fraction form
    23,114.80/31,898.40 = 12,504.46/x
  3. Step 3: Cross multiply
    23,114.80x = 31,898.40 × 12,504.46
  4. Step 4: Simplify right side
    23,114.80x = 398,872,266.86
  5. Step 5: Solve for x
    x = 398,872,266.86/23,114.80
  6. Step 6: Final answer
    x = 17,256.14

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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.