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Finding the Fourth Proportional to 25,624.62, 38,454.03 and 8,984.64

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Solution

The fourth proportional to 25,624.62, 38,454.03 and 8,984.64 is: 13,482.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,624.62 : 38,454.03 = 8,984.64 : x
  2. Step 2: Convert to fraction form
    25,624.62/38,454.03 = 8,984.64/x
  3. Step 3: Cross multiply
    25,624.62x = 38,454.03 × 8,984.64
  4. Step 4: Simplify right side
    25,624.62x = 345,495,616.10
  5. Step 5: Solve for x
    x = 345,495,616.10/25,624.62
  6. Step 6: Final answer
    x = 13,482.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.