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Finding the Fourth Proportional to 22,862.36, 34,293.53 and 9,705.50

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Solution

The fourth proportional to 22,862.36, 34,293.53 and 9,705.50 is: 14,558.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,862.36 : 34,293.53 = 9,705.50 : x
  2. Step 2: Convert to fraction form
    22,862.36/34,293.53 = 9,705.50/x
  3. Step 3: Cross multiply
    22,862.36x = 34,293.53 × 9,705.50
  4. Step 4: Simplify right side
    22,862.36x = 332,835,635.42
  5. Step 5: Solve for x
    x = 332,835,635.42/22,862.36
  6. Step 6: Final answer
    x = 14,558.24

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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.