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Finding the Fourth Proportional to 24,663.16, 37,002.84 and 9,082

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Solution

The fourth proportional to 24,663.16, 37,002.84 and 9,082 is: 13,625.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,663.16 : 37,002.84 = 9,082 : x
  2. Step 2: Convert to fraction form
    24,663.16/37,002.84 = 9,082/x
  3. Step 3: Cross multiply
    24,663.16x = 37,002.84 × 9,082
  4. Step 4: Simplify right side
    24,663.16x = 336,059,792.88
  5. Step 5: Solve for x
    x = 336,059,792.88/24,663.16
  6. Step 6: Final answer
    x = 13,625.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.