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Finding the Fourth Proportional to 14,604.60, 21,909.94 and 4,744.08

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Solution

The fourth proportional to 14,604.60, 21,909.94 and 4,744.08 is: 7,117.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,604.60 : 21,909.94 = 4,744.08 : x
  2. Step 2: Convert to fraction form
    14,604.60/21,909.94 = 4,744.08/x
  3. Step 3: Cross multiply
    14,604.60x = 21,909.94 × 4,744.08
  4. Step 4: Simplify right side
    14,604.60x = 103,942,508.16
  5. Step 5: Solve for x
    x = 103,942,508.16/14,604.60
  6. Step 6: Final answer
    x = 7,117.11

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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.