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Finding the Fourth Proportional to 17,641.96, 24,346.10 and 9,684.02

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Solution

The fourth proportional to 17,641.96, 24,346.10 and 9,684.02 is: 13,364.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,641.96 : 24,346.10 = 9,684.02 : x
  2. Step 2: Convert to fraction form
    17,641.96/24,346.10 = 9,684.02/x
  3. Step 3: Cross multiply
    17,641.96x = 24,346.10 × 9,684.02
  4. Step 4: Simplify right side
    17,641.96x = 235,768,119.32
  5. Step 5: Solve for x
    x = 235,768,119.32/17,641.96
  6. Step 6: Final answer
    x = 13,364.05

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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.