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Finding the Fourth Proportional to 24,765.57, 37,140.12 and 13,677.48

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Solution

The fourth proportional to 24,765.57, 37,140.12 and 13,677.48 is: 20,511.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,765.57 : 37,140.12 = 13,677.48 : x
  2. Step 2: Convert to fraction form
    24,765.57/37,140.12 = 13,677.48/x
  3. Step 3: Cross multiply
    24,765.57x = 37,140.12 × 13,677.48
  4. Step 4: Simplify right side
    24,765.57x = 507,983,248.50
  5. Step 5: Solve for x
    x = 507,983,248.50/24,765.57
  6. Step 6: Final answer
    x = 20,511.67

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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.