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Finding the Fourth Proportional to 12,738.65, 17,574.51 and 9,389.48

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Solution

The fourth proportional to 12,738.65, 17,574.51 and 9,389.48 is: 12,953.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,738.65 : 17,574.51 = 9,389.48 : x
  2. Step 2: Convert to fraction form
    12,738.65/17,574.51 = 9,389.48/x
  3. Step 3: Cross multiply
    12,738.65x = 17,574.51 × 9,389.48
  4. Step 4: Simplify right side
    12,738.65x = 165,015,422.28
  5. Step 5: Solve for x
    x = 165,015,422.28/12,738.65
  6. Step 6: Final answer
    x = 12,953.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.