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Finding the Fourth Proportional to 24,009.58, 36,009.39 and 7,142.68

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Solution

The fourth proportional to 24,009.58, 36,009.39 and 7,142.68 is: 10,712.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,009.58 : 36,009.39 = 7,142.68 : x
  2. Step 2: Convert to fraction form
    24,009.58/36,009.39 = 7,142.68/x
  3. Step 3: Cross multiply
    24,009.58x = 36,009.39 × 7,142.68
  4. Step 4: Simplify right side
    24,009.58x = 257,203,334.00
  5. Step 5: Solve for x
    x = 257,203,334.00/24,009.58
  6. Step 6: Final answer
    x = 10,712.53

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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.