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Finding the Fourth Proportional to 24,638.02, 34,000.47 and 13,460.02

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Solution

The fourth proportional to 24,638.02, 34,000.47 and 13,460.02 is: 18,574.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,638.02 : 34,000.47 = 13,460.02 : x
  2. Step 2: Convert to fraction form
    24,638.02/34,000.47 = 13,460.02/x
  3. Step 3: Cross multiply
    24,638.02x = 34,000.47 × 13,460.02
  4. Step 4: Simplify right side
    24,638.02x = 457,647,006.21
  5. Step 5: Solve for x
    x = 457,647,006.21/24,638.02
  6. Step 6: Final answer
    x = 18,574.83

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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.