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Finding the Fourth Proportional to 23,114.53, 31,898.07 and 13,045.12

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Solution

The fourth proportional to 23,114.53, 31,898.07 and 13,045.12 is: 18,002.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,114.53 : 31,898.07 = 13,045.12 : x
  2. Step 2: Convert to fraction form
    23,114.53/31,898.07 = 13,045.12/x
  3. Step 3: Cross multiply
    23,114.53x = 31,898.07 × 13,045.12
  4. Step 4: Simplify right side
    23,114.53x = 416,114,071.17
  5. Step 5: Solve for x
    x = 416,114,071.17/23,114.53
  6. Step 6: Final answer
    x = 18,002.27

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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.