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Finding the Fourth Proportional to 24,242.40, 36,365.28 and 9,446.40

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Solution

The fourth proportional to 24,242.40, 36,365.28 and 9,446.40 is: 14,170.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,242.40 : 36,365.28 = 9,446.40 : x
  2. Step 2: Convert to fraction form
    24,242.40/36,365.28 = 9,446.40/x
  3. Step 3: Cross multiply
    24,242.40x = 36,365.28 × 9,446.40
  4. Step 4: Simplify right side
    24,242.40x = 343,520,980.99
  5. Step 5: Solve for x
    x = 343,520,980.99/24,242.40
  6. Step 6: Final answer
    x = 14,170.25

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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.