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Finding the Fourth Proportional to 16,382.98, 24,570.15 and 4,693.42

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Solution

The fourth proportional to 16,382.98, 24,570.15 and 4,693.42 is: 7,038.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,382.98 : 24,570.15 = 4,693.42 : x
  2. Step 2: Convert to fraction form
    16,382.98/24,570.15 = 4,693.42/x
  3. Step 3: Cross multiply
    16,382.98x = 24,570.15 × 4,693.42
  4. Step 4: Simplify right side
    16,382.98x = 115,318,033.41
  5. Step 5: Solve for x
    x = 115,318,033.41/16,382.98
  6. Step 6: Final answer
    x = 7,038.89

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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.