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Finding the Fourth Proportional to 25,389.64, 38,093.10 and 13,069

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Solution

The fourth proportional to 25,389.64, 38,093.10 and 13,069 is: 19,607.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,389.64 : 38,093.10 = 13,069 : x
  2. Step 2: Convert to fraction form
    25,389.64/38,093.10 = 13,069/x
  3. Step 3: Cross multiply
    25,389.64x = 38,093.10 × 13,069
  4. Step 4: Simplify right side
    25,389.64x = 497,838,723.90
  5. Step 5: Solve for x
    x = 497,838,723.90/25,389.64
  6. Step 6: Final answer
    x = 19,607.95

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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.