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Finding the Fourth Proportional to 16,854.34, 25,285.12 and 6,466

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Solution

The fourth proportional to 16,854.34, 25,285.12 and 6,466 is: 9,700.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,854.34 : 25,285.12 = 6,466 : x
  2. Step 2: Convert to fraction form
    16,854.34/25,285.12 = 6,466/x
  3. Step 3: Cross multiply
    16,854.34x = 25,285.12 × 6,466
  4. Step 4: Simplify right side
    16,854.34x = 163,493,585.92
  5. Step 5: Solve for x
    x = 163,493,585.92/16,854.34
  6. Step 6: Final answer
    x = 9,700.38

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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.