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Finding the Fourth Proportional to 22,746.34, 34,129.43 and 7,965.87

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Solution

The fourth proportional to 22,746.34, 34,129.43 and 7,965.87 is: 11,952.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,746.34 : 34,129.43 = 7,965.87 : x
  2. Step 2: Convert to fraction form
    22,746.34/34,129.43 = 7,965.87/x
  3. Step 3: Cross multiply
    22,746.34x = 34,129.43 × 7,965.87
  4. Step 4: Simplify right side
    22,746.34x = 271,870,602.55
  5. Step 5: Solve for x
    x = 271,870,602.55/22,746.34
  6. Step 6: Final answer
    x = 11,952.28

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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.