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Finding the Fourth Proportional to 23,200.48, 32,016.74 and 12,590.11

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Solution

The fourth proportional to 23,200.48, 32,016.74 and 12,590.11 is: 17,374.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,200.48 : 32,016.74 = 12,590.11 : x
  2. Step 2: Convert to fraction form
    23,200.48/32,016.74 = 12,590.11/x
  3. Step 3: Cross multiply
    23,200.48x = 32,016.74 × 12,590.11
  4. Step 4: Simplify right side
    23,200.48x = 403,094,086.88
  5. Step 5: Solve for x
    x = 403,094,086.88/23,200.48
  6. Step 6: Final answer
    x = 17,374.39

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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.