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Finding the Fourth Proportional to 22,957.63, 34,424.14 and 9,436.96

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Solution

The fourth proportional to 22,957.63, 34,424.14 and 9,436.96 is: 14,150.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,957.63 : 34,424.14 = 9,436.96 : x
  2. Step 2: Convert to fraction form
    22,957.63/34,424.14 = 9,436.96/x
  3. Step 3: Cross multiply
    22,957.63x = 34,424.14 × 9,436.96
  4. Step 4: Simplify right side
    22,957.63x = 324,859,075.71
  5. Step 5: Solve for x
    x = 324,859,075.71/22,957.63
  6. Step 6: Final answer
    x = 14,150.38

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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.