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Finding the Fourth Proportional to 10,024.16, 14,962.19 and 8,842.24

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Solution

The fourth proportional to 10,024.16, 14,962.19 and 8,842.24 is: 13,198.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,024.16 : 14,962.19 = 8,842.24 : x
  2. Step 2: Convert to fraction form
    10,024.16/14,962.19 = 8,842.24/x
  3. Step 3: Cross multiply
    10,024.16x = 14,962.19 × 8,842.24
  4. Step 4: Simplify right side
    10,024.16x = 132,299,274.91
  5. Step 5: Solve for x
    x = 132,299,274.91/10,024.16
  6. Step 6: Final answer
    x = 13,198.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.