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Finding the Fourth Proportional to 17,874.36, 24,667.02 and 9,916.29

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Solution

The fourth proportional to 17,874.36, 24,667.02 and 9,916.29 is: 13,684.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,874.36 : 24,667.02 = 9,916.29 : x
  2. Step 2: Convert to fraction form
    17,874.36/24,667.02 = 9,916.29/x
  3. Step 3: Cross multiply
    17,874.36x = 24,667.02 × 9,916.29
  4. Step 4: Simplify right side
    17,874.36x = 244,605,323.76
  5. Step 5: Solve for x
    x = 244,605,323.76/17,874.36
  6. Step 6: Final answer
    x = 13,684.70

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1.5x scale

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.