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Finding the Fourth Proportional to 23,616, 32,590.08 and 13,005.61

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Solution

The fourth proportional to 23,616, 32,590.08 and 13,005.61 is: 17,947.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,616 : 32,590.08 = 13,005.61 : x
  2. Step 2: Convert to fraction form
    23,616/32,590.08 = 13,005.61/x
  3. Step 3: Cross multiply
    23,616x = 32,590.08 × 13,005.61
  4. Step 4: Simplify right side
    23,616x = 423,853,870.35
  5. Step 5: Solve for x
    x = 423,853,870.35/23,616
  6. Step 6: Final answer
    x = 17,947.74

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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.