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Finding the Fourth Proportional to 17,862.18, 24,648.60 and 9,904.11

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Solution

The fourth proportional to 17,862.18, 24,648.60 and 9,904.11 is: 13,667.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,862.18 : 24,648.60 = 9,904.11 : x
  2. Step 2: Convert to fraction form
    17,862.18/24,648.60 = 9,904.11/x
  3. Step 3: Cross multiply
    17,862.18x = 24,648.60 × 9,904.11
  4. Step 4: Simplify right side
    17,862.18x = 244,122,445.75
  5. Step 5: Solve for x
    x = 244,122,445.75/17,862.18
  6. Step 6: Final answer
    x = 13,667.00

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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.