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Finding the Fourth Proportional to 23,059.29, 34,510.75 and 14,180.20

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Solution

The fourth proportional to 23,059.29, 34,510.75 and 14,180.20 is: 21,222.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,059.29 : 34,510.75 = 14,180.20 : x
  2. Step 2: Convert to fraction form
    23,059.29/34,510.75 = 14,180.20/x
  3. Step 3: Cross multiply
    23,059.29x = 34,510.75 × 14,180.20
  4. Step 4: Simplify right side
    23,059.29x = 489,369,337.15
  5. Step 5: Solve for x
    x = 489,369,337.15/23,059.29
  6. Step 6: Final answer
    x = 21,222.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.