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Finding the Fourth Proportional to 22,828.50, 34,242.76 and 7,246.13

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Solution

The fourth proportional to 22,828.50, 34,242.76 and 7,246.13 is: 10,869.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,828.50 : 34,242.76 = 7,246.13 : x
  2. Step 2: Convert to fraction form
    22,828.50/34,242.76 = 7,246.13/x
  3. Step 3: Cross multiply
    22,828.50x = 34,242.76 × 7,246.13
  4. Step 4: Simplify right side
    22,828.50x = 248,127,328.36
  5. Step 5: Solve for x
    x = 248,127,328.36/22,828.50
  6. Step 6: Final answer
    x = 10,869.19

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Why These Related Problems?

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