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Finding the Fourth Proportional to 24,289.40, 36,404.86 and 10,244

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Solution

The fourth proportional to 24,289.40, 36,404.86 and 10,244 is: 15,353.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,289.40 : 36,404.86 = 10,244 : x
  2. Step 2: Convert to fraction form
    24,289.40/36,404.86 = 10,244/x
  3. Step 3: Cross multiply
    24,289.40x = 36,404.86 × 10,244
  4. Step 4: Simplify right side
    24,289.40x = 372,931,385.84
  5. Step 5: Solve for x
    x = 372,931,385.84/24,289.40
  6. Step 6: Final answer
    x = 15,353.67

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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.