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Finding the Fourth Proportional to 14,852.24, 22,282.07 and 10,478.24

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Solution

The fourth proportional to 14,852.24, 22,282.07 and 10,478.24 is: 15,719.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,852.24 : 22,282.07 = 10,478.24 : x
  2. Step 2: Convert to fraction form
    14,852.24/22,282.07 = 10,478.24/x
  3. Step 3: Cross multiply
    14,852.24x = 22,282.07 × 10,478.24
  4. Step 4: Simplify right side
    14,852.24x = 233,476,713.36
  5. Step 5: Solve for x
    x = 233,476,713.36/14,852.24
  6. Step 6: Final answer
    x = 15,719.97

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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.