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Finding the Fourth Proportional to 14,965.24, 22,461.75 and 7,574.92

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Solution

The fourth proportional to 14,965.24, 22,461.75 and 7,574.92 is: 11,369.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,965.24 : 22,461.75 = 7,574.92 : x
  2. Step 2: Convert to fraction form
    14,965.24/22,461.75 = 7,574.92/x
  3. Step 3: Cross multiply
    14,965.24x = 22,461.75 × 7,574.92
  4. Step 4: Simplify right side
    14,965.24x = 170,145,959.31
  5. Step 5: Solve for x
    x = 170,145,959.31/14,965.24
  6. Step 6: Final answer
    x = 11,369.41

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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.