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Finding the Fourth Proportional to 23,291.92, 32,143.08 and 13,354

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Solution

The fourth proportional to 23,291.92, 32,143.08 and 13,354 is: 18,428.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,291.92 : 32,143.08 = 13,354 : x
  2. Step 2: Convert to fraction form
    23,291.92/32,143.08 = 13,354/x
  3. Step 3: Cross multiply
    23,291.92x = 32,143.08 × 13,354
  4. Step 4: Simplify right side
    23,291.92x = 429,238,690.32
  5. Step 5: Solve for x
    x = 429,238,690.32/23,291.92
  6. Step 6: Final answer
    x = 18,428.65

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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.