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Finding the Fourth Proportional to 22,885.65, 34,343.06 and 9,738

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Solution

The fourth proportional to 22,885.65, 34,343.06 and 9,738 is: 14,613.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,885.65 : 34,343.06 = 9,738 : x
  2. Step 2: Convert to fraction form
    22,885.65/34,343.06 = 9,738/x
  3. Step 3: Cross multiply
    22,885.65x = 34,343.06 × 9,738
  4. Step 4: Simplify right side
    22,885.65x = 334,432,669.59
  5. Step 5: Solve for x
    x = 334,432,669.59/22,885.65
  6. Step 6: Final answer
    x = 14,613.20

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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.