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Finding the Fourth Proportional to 23,616.14, 32,590.49 and 13,005.81

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Solution

The fourth proportional to 23,616.14, 32,590.49 and 13,005.81 is: 17,948.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,616.14 : 32,590.49 = 13,005.81 : x
  2. Step 2: Convert to fraction form
    23,616.14/32,590.49 = 13,005.81/x
  3. Step 3: Cross multiply
    23,616.14x = 32,590.49 × 13,005.81
  4. Step 4: Simplify right side
    23,616.14x = 423,865,655.72
  5. Step 5: Solve for x
    x = 423,865,655.72/23,616.14
  6. Step 6: Final answer
    x = 17,948.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.