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Finding the Fourth Proportional to 16,432.84, 22,683.18 and 9,720.82

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Solution

The fourth proportional to 16,432.84, 22,683.18 and 9,720.82 is: 13,418.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,432.84 : 22,683.18 = 9,720.82 : x
  2. Step 2: Convert to fraction form
    16,432.84/22,683.18 = 9,720.82/x
  3. Step 3: Cross multiply
    16,432.84x = 22,683.18 × 9,720.82
  4. Step 4: Simplify right side
    16,432.84x = 220,499,109.81
  5. Step 5: Solve for x
    x = 220,499,109.81/16,432.84
  6. Step 6: Final answer
    x = 13,418.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.