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Finding the Fourth Proportional to 16,339.22, 24,510.20 and 6,478.58

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Solution

The fourth proportional to 16,339.22, 24,510.20 and 6,478.58 is: 9,718.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,339.22 : 24,510.20 = 6,478.58 : x
  2. Step 2: Convert to fraction form
    16,339.22/24,510.20 = 6,478.58/x
  3. Step 3: Cross multiply
    16,339.22x = 24,510.20 × 6,478.58
  4. Step 4: Simplify right side
    16,339.22x = 158,791,320.40
  5. Step 5: Solve for x
    x = 158,791,320.40/16,339.22
  6. Step 6: Final answer
    x = 9,718.42

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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.