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Finding the Fourth Proportional to 22,829, 34,243.51 and 7,246.63

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Solution

The fourth proportional to 22,829, 34,243.51 and 7,246.63 is: 10,869.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,829 : 34,243.51 = 7,246.63 : x
  2. Step 2: Convert to fraction form
    22,829/34,243.51 = 7,246.63/x
  3. Step 3: Cross multiply
    22,829x = 34,243.51 × 7,246.63
  4. Step 4: Simplify right side
    22,829x = 248,149,875.65
  5. Step 5: Solve for x
    x = 248,149,875.65/22,829
  6. Step 6: Final answer
    x = 10,869.94

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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.