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Finding the Fourth Proportional to 14,947.70, 20,637.76 and 9,290.90

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Solution

The fourth proportional to 14,947.70, 20,637.76 and 9,290.90 is: 12,827.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,947.70 : 20,637.76 = 9,290.90 : x
  2. Step 2: Convert to fraction form
    14,947.70/20,637.76 = 9,290.90/x
  3. Step 3: Cross multiply
    14,947.70x = 20,637.76 × 9,290.90
  4. Step 4: Simplify right side
    14,947.70x = 191,743,364.38
  5. Step 5: Solve for x
    x = 191,743,364.38/14,947.70
  6. Step 6: Final answer
    x = 12,827.62

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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.