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Finding the Fourth Proportional to 28,432.24, 42,648 and 12,838.96

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Solution

The fourth proportional to 28,432.24, 42,648 and 12,838.96 is: 19,258.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,432.24 : 42,648 = 12,838.96 : x
  2. Step 2: Convert to fraction form
    28,432.24/42,648 = 12,838.96/x
  3. Step 3: Cross multiply
    28,432.24x = 42,648 × 12,838.96
  4. Step 4: Simplify right side
    28,432.24x = 547,555,966.08
  5. Step 5: Solve for x
    x = 547,555,966.08/28,432.24
  6. Step 6: Final answer
    x = 19,258.28

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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.