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Finding the Fourth Proportional to 24,655.72, 34,024.26 and 13,477

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Solution

The fourth proportional to 24,655.72, 34,024.26 and 13,477 is: 18,597.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,655.72 : 34,024.26 = 13,477 : x
  2. Step 2: Convert to fraction form
    24,655.72/34,024.26 = 13,477/x
  3. Step 3: Cross multiply
    24,655.72x = 34,024.26 × 13,477
  4. Step 4: Simplify right side
    24,655.72x = 458,544,952.02
  5. Step 5: Solve for x
    x = 458,544,952.02/24,655.72
  6. Step 6: Final answer
    x = 18,597.91

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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.