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Finding the Fourth Proportional to 24,238.80, 36,360 and 17,677.80

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Solution

The fourth proportional to 24,238.80, 36,360 and 17,677.80 is: 26,518.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,238.80 : 36,360 = 17,677.80 : x
  2. Step 2: Convert to fraction form
    24,238.80/36,360 = 17,677.80/x
  3. Step 3: Cross multiply
    24,238.80x = 36,360 × 17,677.80
  4. Step 4: Simplify right side
    24,238.80x = 642,764,808
  5. Step 5: Solve for x
    x = 642,764,808/24,238.80
  6. Step 6: Final answer
    x = 26,518.01

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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.