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Finding the Fourth Proportional to 24,470.34, 33,775.72 and 14,402

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Solution

The fourth proportional to 24,470.34, 33,775.72 and 14,402 is: 19,878.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,470.34 : 33,775.72 = 14,402 : x
  2. Step 2: Convert to fraction form
    24,470.34/33,775.72 = 14,402/x
  3. Step 3: Cross multiply
    24,470.34x = 33,775.72 × 14,402
  4. Step 4: Simplify right side
    24,470.34x = 486,437,919.44
  5. Step 5: Solve for x
    x = 486,437,919.44/24,470.34
  6. Step 6: Final answer
    x = 19,878.67

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Why These Related Problems?

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