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Finding the Fourth Proportional to 21,680.40, 32,526.72 and 6,098.16

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Solution

The fourth proportional to 21,680.40, 32,526.72 and 6,098.16 is: 9,148.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,680.40 : 32,526.72 = 6,098.16 : x
  2. Step 2: Convert to fraction form
    21,680.40/32,526.72 = 6,098.16/x
  3. Step 3: Cross multiply
    21,680.40x = 32,526.72 × 6,098.16
  4. Step 4: Simplify right side
    21,680.40x = 198,353,142.84
  5. Step 5: Solve for x
    x = 198,353,142.84/21,680.40
  6. Step 6: Final answer
    x = 9,148.96

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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.