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Finding the Fourth Proportional to 16,432.96, 24,647.52 and 4,120

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Solution

The fourth proportional to 16,432.96, 24,647.52 and 4,120 is: 6,179.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,432.96 : 24,647.52 = 4,120 : x
  2. Step 2: Convert to fraction form
    16,432.96/24,647.52 = 4,120/x
  3. Step 3: Cross multiply
    16,432.96x = 24,647.52 × 4,120
  4. Step 4: Simplify right side
    16,432.96x = 101,547,782.40
  5. Step 5: Solve for x
    x = 101,547,782.40/16,432.96
  6. Step 6: Final answer
    x = 6,179.52

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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.