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Finding the Fourth Proportional to 16,853.67, 25,265.66 and 6,458.13

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Solution

The fourth proportional to 16,853.67, 25,265.66 and 6,458.13 is: 9,681.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,853.67 : 25,265.66 = 6,458.13 : x
  2. Step 2: Convert to fraction form
    16,853.67/25,265.66 = 6,458.13/x
  3. Step 3: Cross multiply
    16,853.67x = 25,265.66 × 6,458.13
  4. Step 4: Simplify right side
    16,853.67x = 163,168,884.53
  5. Step 5: Solve for x
    x = 163,168,884.53/16,853.67
  6. Step 6: Final answer
    x = 9,681.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.