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Finding the Fourth Proportional to 24,803.08, 34,228.10 and 13,625

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Solution

The fourth proportional to 24,803.08, 34,228.10 and 13,625 is: 18,802.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,803.08 : 34,228.10 = 13,625 : x
  2. Step 2: Convert to fraction form
    24,803.08/34,228.10 = 13,625/x
  3. Step 3: Cross multiply
    24,803.08x = 34,228.10 × 13,625
  4. Step 4: Simplify right side
    24,803.08x = 466,357,862.50
  5. Step 5: Solve for x
    x = 466,357,862.50/24,803.08
  6. Step 6: Final answer
    x = 18,802.42

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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.