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Finding the Fourth Proportional to 24,258.40, 36,389.28 and 9,462.40

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Solution

The fourth proportional to 24,258.40, 36,389.28 and 9,462.40 is: 14,194.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,258.40 : 36,389.28 = 9,462.40 : x
  2. Step 2: Convert to fraction form
    24,258.40/36,389.28 = 9,462.40/x
  3. Step 3: Cross multiply
    24,258.40x = 36,389.28 × 9,462.40
  4. Step 4: Simplify right side
    24,258.40x = 344,329,923.07
  5. Step 5: Solve for x
    x = 344,329,923.07/24,258.40
  6. Step 6: Final answer
    x = 14,194.26

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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.