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Finding the Fourth Proportional to 23,031.42, 34,547 and 6,391.28

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Solution

The fourth proportional to 23,031.42, 34,547 and 6,391.28 is: 9,586.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,031.42 : 34,547 = 6,391.28 : x
  2. Step 2: Convert to fraction form
    23,031.42/34,547 = 6,391.28/x
  3. Step 3: Cross multiply
    23,031.42x = 34,547 × 6,391.28
  4. Step 4: Simplify right side
    23,031.42x = 220,799,550.16
  5. Step 5: Solve for x
    x = 220,799,550.16/23,031.42
  6. Step 6: Final answer
    x = 9,586.88

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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.