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Finding the Fourth Proportional to 24,667.34, 34,029.38 and 16,167.20

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Solution

The fourth proportional to 24,667.34, 34,029.38 and 16,167.20 is: 22,303.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,667.34 : 34,029.38 = 16,167.20 : x
  2. Step 2: Convert to fraction form
    24,667.34/34,029.38 = 16,167.20/x
  3. Step 3: Cross multiply
    24,667.34x = 34,029.38 × 16,167.20
  4. Step 4: Simplify right side
    24,667.34x = 550,159,662.61
  5. Step 5: Solve for x
    x = 550,159,662.61/24,667.34
  6. Step 6: Final answer
    x = 22,303.17

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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.