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Finding the Fourth Proportional to 12,402.72, 18,599.52 and 5,005.20

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Solution

The fourth proportional to 12,402.72, 18,599.52 and 5,005.20 is: 7,505.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,402.72 : 18,599.52 = 5,005.20 : x
  2. Step 2: Convert to fraction form
    12,402.72/18,599.52 = 5,005.20/x
  3. Step 3: Cross multiply
    12,402.72x = 18,599.52 × 5,005.20
  4. Step 4: Simplify right side
    12,402.72x = 93,094,317.50
  5. Step 5: Solve for x
    x = 93,094,317.50/12,402.72
  6. Step 6: Final answer
    x = 7,505.96

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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.