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Finding the Fourth Proportional to 25,468.18, 38,206.48 and 10,678.20

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Solution

The fourth proportional to 25,468.18, 38,206.48 and 10,678.20 is: 16,019.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,468.18 : 38,206.48 = 10,678.20 : x
  2. Step 2: Convert to fraction form
    25,468.18/38,206.48 = 10,678.20/x
  3. Step 3: Cross multiply
    25,468.18x = 38,206.48 × 10,678.20
  4. Step 4: Simplify right side
    25,468.18x = 407,976,434.74
  5. Step 5: Solve for x
    x = 407,976,434.74/25,468.18
  6. Step 6: Final answer
    x = 16,019.07

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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.