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Finding the Fourth Proportional to 14,748.52, 20,353.06 and 8,374.90

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Solution

The fourth proportional to 14,748.52, 20,353.06 and 8,374.90 is: 11,557.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,748.52 : 20,353.06 = 8,374.90 : x
  2. Step 2: Convert to fraction form
    14,748.52/20,353.06 = 8,374.90/x
  3. Step 3: Cross multiply
    14,748.52x = 20,353.06 × 8,374.90
  4. Step 4: Simplify right side
    14,748.52x = 170,454,842.19
  5. Step 5: Solve for x
    x = 170,454,842.19/14,748.52
  6. Step 6: Final answer
    x = 11,557.42

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1.5x scale

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.