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Finding the Fourth Proportional to 24,868.32, 37,308.80 and 9,286.08

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Solution

The fourth proportional to 24,868.32, 37,308.80 and 9,286.08 is: 13,931.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,868.32 : 37,308.80 = 9,286.08 : x
  2. Step 2: Convert to fraction form
    24,868.32/37,308.80 = 9,286.08/x
  3. Step 3: Cross multiply
    24,868.32x = 37,308.80 × 9,286.08
  4. Step 4: Simplify right side
    24,868.32x = 346,452,501.50
  5. Step 5: Solve for x
    x = 346,452,501.50/24,868.32
  6. Step 6: Final answer
    x = 13,931.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.