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Finding the Fourth Proportional to 24,308.40, 36,448.01 and 9,499.68

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Solution

The fourth proportional to 24,308.40, 36,448.01 and 9,499.68 is: 14,243.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,308.40 : 36,448.01 = 9,499.68 : x
  2. Step 2: Convert to fraction form
    24,308.40/36,448.01 = 9,499.68/x
  3. Step 3: Cross multiply
    24,308.40x = 36,448.01 × 9,499.68
  4. Step 4: Simplify right side
    24,308.40x = 346,244,431.64
  5. Step 5: Solve for x
    x = 346,244,431.64/24,308.40
  6. Step 6: Final answer
    x = 14,243.82

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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.