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Finding the Fourth Proportional to 14,947.25, 22,423.10 and 9,320.33

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Solution

The fourth proportional to 14,947.25, 22,423.10 and 9,320.33 is: 13,981.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,947.25 : 22,423.10 = 9,320.33 : x
  2. Step 2: Convert to fraction form
    14,947.25/22,423.10 = 9,320.33/x
  3. Step 3: Cross multiply
    14,947.25x = 22,423.10 × 9,320.33
  4. Step 4: Simplify right side
    14,947.25x = 208,990,701.08
  5. Step 5: Solve for x
    x = 208,990,701.08/14,947.25
  6. Step 6: Final answer
    x = 13,981.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.