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Finding the Fourth Proportional to 25,711.34, 38,573.16 and 9,075.11

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Solution

The fourth proportional to 25,711.34, 38,573.16 and 9,075.11 is: 13,614.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,711.34 : 38,573.16 = 9,075.11 : x
  2. Step 2: Convert to fraction form
    25,711.34/38,573.16 = 9,075.11/x
  3. Step 3: Cross multiply
    25,711.34x = 38,573.16 × 9,075.11
  4. Step 4: Simplify right side
    25,711.34x = 350,055,477.18
  5. Step 5: Solve for x
    x = 350,055,477.18/25,711.34
  6. Step 6: Final answer
    x = 13,614.83

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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.