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Finding the Fourth Proportional to 14,824.65, 22,046.19 and 14,357.42

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Solution

The fourth proportional to 14,824.65, 22,046.19 and 14,357.42 is: 21,351.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,824.65 : 22,046.19 = 14,357.42 : x
  2. Step 2: Convert to fraction form
    14,824.65/22,046.19 = 14,357.42/x
  3. Step 3: Cross multiply
    14,824.65x = 22,046.19 × 14,357.42
  4. Step 4: Simplify right side
    14,824.65x = 316,526,409.23
  5. Step 5: Solve for x
    x = 316,526,409.23/14,824.65
  6. Step 6: Final answer
    x = 21,351.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.