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Finding the Fourth Proportional to 16,345.46, 24,496.62 and 6,479.34

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Solution

The fourth proportional to 16,345.46, 24,496.62 and 6,479.34 is: 9,710.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,345.46 : 24,496.62 = 6,479.34 : x
  2. Step 2: Convert to fraction form
    16,345.46/24,496.62 = 6,479.34/x
  3. Step 3: Cross multiply
    16,345.46x = 24,496.62 × 6,479.34
  4. Step 4: Simplify right side
    16,345.46x = 158,721,929.83
  5. Step 5: Solve for x
    x = 158,721,929.83/16,345.46
  6. Step 6: Final answer
    x = 9,710.46

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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.