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Finding the Fourth Proportional to 24,428.40, 36,637.80 and 8,012.40

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Solution

The fourth proportional to 24,428.40, 36,637.80 and 8,012.40 is: 12,017.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,428.40 : 36,637.80 = 8,012.40 : x
  2. Step 2: Convert to fraction form
    24,428.40/36,637.80 = 8,012.40/x
  3. Step 3: Cross multiply
    24,428.40x = 36,637.80 × 8,012.40
  4. Step 4: Simplify right side
    24,428.40x = 293,556,708.72
  5. Step 5: Solve for x
    x = 293,556,708.72/24,428.40
  6. Step 6: Final answer
    x = 12,017.03

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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.