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Finding the Fourth Proportional to 16,705.65, 24,867.59 and 16,456.50

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Solution

The fourth proportional to 16,705.65, 24,867.59 and 16,456.50 is: 24,496.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,705.65 : 24,867.59 = 16,456.50 : x
  2. Step 2: Convert to fraction form
    16,705.65/24,867.59 = 16,456.50/x
  3. Step 3: Cross multiply
    16,705.65x = 24,867.59 × 16,456.50
  4. Step 4: Simplify right side
    16,705.65x = 409,233,412.55
  5. Step 5: Solve for x
    x = 409,233,412.55/16,705.65
  6. Step 6: Final answer
    x = 24,496.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.