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Finding the Fourth Proportional to 29,988, 44,984.16 and 11,520

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Solution

The fourth proportional to 29,988, 44,984.16 and 11,520 is: 17,280.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,988 : 44,984.16 = 11,520 : x
  2. Step 2: Convert to fraction form
    29,988/44,984.16 = 11,520/x
  3. Step 3: Cross multiply
    29,988x = 44,984.16 × 11,520
  4. Step 4: Simplify right side
    29,988x = 518,217,523.20
  5. Step 5: Solve for x
    x = 518,217,523.20/29,988
  6. Step 6: Final answer
    x = 17,280.83

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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.