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Finding the Fourth Proportional to 24,065, 33,209.70 and 13,454.40

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Solution

The fourth proportional to 24,065, 33,209.70 and 13,454.40 is: 18,567.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,065 : 33,209.70 = 13,454.40 : x
  2. Step 2: Convert to fraction form
    24,065/33,209.70 = 13,454.40/x
  3. Step 3: Cross multiply
    24,065x = 33,209.70 × 13,454.40
  4. Step 4: Simplify right side
    24,065x = 446,816,587.68
  5. Step 5: Solve for x
    x = 446,816,587.68/24,065
  6. Step 6: Final answer
    x = 18,567.07

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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.