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Finding the Fourth Proportional to 21,657.79, 32,491.28 and 6,864.76

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Solution

The fourth proportional to 21,657.79, 32,491.28 and 6,864.76 is: 10,298.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,657.79 : 32,491.28 = 6,864.76 : x
  2. Step 2: Convert to fraction form
    21,657.79/32,491.28 = 6,864.76/x
  3. Step 3: Cross multiply
    21,657.79x = 32,491.28 × 6,864.76
  4. Step 4: Simplify right side
    21,657.79x = 223,044,839.29
  5. Step 5: Solve for x
    x = 223,044,839.29/21,657.79
  6. Step 6: Final answer
    x = 10,298.60

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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.