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Finding the Fourth Proportional to 14,702.57, 20,287.17 and 9,035.49

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Solution

The fourth proportional to 14,702.57, 20,287.17 and 9,035.49 is: 12,467.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,702.57 : 20,287.17 = 9,035.49 : x
  2. Step 2: Convert to fraction form
    14,702.57/20,287.17 = 9,035.49/x
  3. Step 3: Cross multiply
    14,702.57x = 20,287.17 × 9,035.49
  4. Step 4: Simplify right side
    14,702.57x = 183,304,521.66
  5. Step 5: Solve for x
    x = 183,304,521.66/14,702.57
  6. Step 6: Final answer
    x = 12,467.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.