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Finding the Fourth Proportional to 14,974.65, 22,451.18 and 9,783.45

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Solution

The fourth proportional to 14,974.65, 22,451.18 and 9,783.45 is: 14,668.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,974.65 : 22,451.18 = 9,783.45 : x
  2. Step 2: Convert to fraction form
    14,974.65/22,451.18 = 9,783.45/x
  3. Step 3: Cross multiply
    14,974.65x = 22,451.18 × 9,783.45
  4. Step 4: Simplify right side
    14,974.65x = 219,649,948.05
  5. Step 5: Solve for x
    x = 219,649,948.05/14,974.65
  6. Step 6: Final answer
    x = 14,668.12

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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.