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Finding the Fourth Proportional to 16,314.32, 24,463.73 and 6,323.74

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Solution

The fourth proportional to 16,314.32, 24,463.73 and 6,323.74 is: 9,482.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,314.32 : 24,463.73 = 6,323.74 : x
  2. Step 2: Convert to fraction form
    16,314.32/24,463.73 = 6,323.74/x
  3. Step 3: Cross multiply
    16,314.32x = 24,463.73 × 6,323.74
  4. Step 4: Simplify right side
    16,314.32x = 154,702,267.95
  5. Step 5: Solve for x
    x = 154,702,267.95/16,314.32
  6. Step 6: Final answer
    x = 9,482.61

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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.