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Finding the Fourth Proportional to 24,728.96, 34,126.10 and 13,398.64

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Solution

The fourth proportional to 24,728.96, 34,126.10 and 13,398.64 is: 18,490.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,728.96 : 34,126.10 = 13,398.64 : x
  2. Step 2: Convert to fraction form
    24,728.96/34,126.10 = 13,398.64/x
  3. Step 3: Cross multiply
    24,728.96x = 34,126.10 × 13,398.64
  4. Step 4: Simplify right side
    24,728.96x = 457,243,328.50
  5. Step 5: Solve for x
    x = 457,243,328.50/24,728.96
  6. Step 6: Final answer
    x = 18,490.20

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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.