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Finding the Fourth Proportional to 16,854.81, 25,285.47 and 6,465.75

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Solution

The fourth proportional to 16,854.81, 25,285.47 and 6,465.75 is: 9,699.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,854.81 : 25,285.47 = 6,465.75 : x
  2. Step 2: Convert to fraction form
    16,854.81/25,285.47 = 6,465.75/x
  3. Step 3: Cross multiply
    16,854.81x = 25,285.47 × 6,465.75
  4. Step 4: Simplify right side
    16,854.81x = 163,489,527.65
  5. Step 5: Solve for x
    x = 163,489,527.65/16,854.81
  6. Step 6: Final answer
    x = 9,699.87

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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.