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Finding the Fourth Proportional to 24,370.68, 33,632.10 and 13,760.40

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Solution

The fourth proportional to 24,370.68, 33,632.10 and 13,760.40 is: 18,989.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,370.68 : 33,632.10 = 13,760.40 : x
  2. Step 2: Convert to fraction form
    24,370.68/33,632.10 = 13,760.40/x
  3. Step 3: Cross multiply
    24,370.68x = 33,632.10 × 13,760.40
  4. Step 4: Simplify right side
    24,370.68x = 462,791,148.84
  5. Step 5: Solve for x
    x = 462,791,148.84/24,370.68
  6. Step 6: Final answer
    x = 18,989.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.