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Finding the Fourth Proportional to 12,052.80, 18,095.40 and 9,590.40

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Solution

The fourth proportional to 12,052.80, 18,095.40 and 9,590.40 is: 14,398.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,052.80 : 18,095.40 = 9,590.40 : x
  2. Step 2: Convert to fraction form
    12,052.80/18,095.40 = 9,590.40/x
  3. Step 3: Cross multiply
    12,052.80x = 18,095.40 × 9,590.40
  4. Step 4: Simplify right side
    12,052.80x = 173,542,124.16
  5. Step 5: Solve for x
    x = 173,542,124.16/12,052.80
  6. Step 6: Final answer
    x = 14,398.49

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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.