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Finding the Fourth Proportional to 23,127.50, 31,915.95 and 13,191.50

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Solution

The fourth proportional to 23,127.50, 31,915.95 and 13,191.50 is: 18,204.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,127.50 : 31,915.95 = 13,191.50 : x
  2. Step 2: Convert to fraction form
    23,127.50/31,915.95 = 13,191.50/x
  3. Step 3: Cross multiply
    23,127.50x = 31,915.95 × 13,191.50
  4. Step 4: Simplify right side
    23,127.50x = 421,019,254.43
  5. Step 5: Solve for x
    x = 421,019,254.43/23,127.50
  6. Step 6: Final answer
    x = 18,204.27

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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.