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Finding the Fourth Proportional to 23,201.30, 32,017.78 and 12,590.91

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Solution

The fourth proportional to 23,201.30, 32,017.78 and 12,590.91 is: 17,375.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,201.30 : 32,017.78 = 12,590.91 : x
  2. Step 2: Convert to fraction form
    23,201.30/32,017.78 = 12,590.91/x
  3. Step 3: Cross multiply
    23,201.30x = 32,017.78 × 12,590.91
  4. Step 4: Simplify right side
    23,201.30x = 403,133,002.12
  5. Step 5: Solve for x
    x = 403,133,002.12/23,201.30
  6. Step 6: Final answer
    x = 17,375.45

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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.