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Finding the Fourth Proportional to 23,002.78, 34,500.29 and 7,420.40

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Solution

The fourth proportional to 23,002.78, 34,500.29 and 7,420.40 is: 11,129.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,002.78 : 34,500.29 = 7,420.40 : x
  2. Step 2: Convert to fraction form
    23,002.78/34,500.29 = 7,420.40/x
  3. Step 3: Cross multiply
    23,002.78x = 34,500.29 × 7,420.40
  4. Step 4: Simplify right side
    23,002.78x = 256,006,056.72
  5. Step 5: Solve for x
    x = 256,006,056.72/23,002.78
  6. Step 6: Final answer
    x = 11,129.35

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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.