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Finding the Fourth Proportional to 14,901.90, 20,563.34 and 8,527.20

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Solution

The fourth proportional to 14,901.90, 20,563.34 and 8,527.20 is: 11,766.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,901.90 : 20,563.34 = 8,527.20 : x
  2. Step 2: Convert to fraction form
    14,901.90/20,563.34 = 8,527.20/x
  3. Step 3: Cross multiply
    14,901.90x = 20,563.34 × 8,527.20
  4. Step 4: Simplify right side
    14,901.90x = 175,347,670.21
  5. Step 5: Solve for x
    x = 175,347,670.21/14,901.90
  6. Step 6: Final answer
    x = 11,766.80

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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.