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Finding the Fourth Proportional to 23,616.34, 32,590.54 and 13,005.88

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Solution

The fourth proportional to 23,616.34, 32,590.54 and 13,005.88 is: 17,948.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,616.34 : 32,590.54 = 13,005.88 : x
  2. Step 2: Convert to fraction form
    23,616.34/32,590.54 = 13,005.88/x
  3. Step 3: Cross multiply
    23,616.34x = 32,590.54 × 13,005.88
  4. Step 4: Simplify right side
    23,616.34x = 423,868,652.38
  5. Step 5: Solve for x
    x = 423,868,652.38/23,616.34
  6. Step 6: Final answer
    x = 17,948.11

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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.