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Finding the Fourth Proportional to 15,732.62, 23,602.98 and 4,638.86

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Solution

The fourth proportional to 15,732.62, 23,602.98 and 4,638.86 is: 6,959.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,732.62 : 23,602.98 = 4,638.86 : x
  2. Step 2: Convert to fraction form
    15,732.62/23,602.98 = 4,638.86/x
  3. Step 3: Cross multiply
    15,732.62x = 23,602.98 × 4,638.86
  4. Step 4: Simplify right side
    15,732.62x = 109,490,919.80
  5. Step 5: Solve for x
    x = 109,490,919.80/15,732.62
  6. Step 6: Final answer
    x = 6,959.48

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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.