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Finding the Fourth Proportional to 20,075.40, 30,114.04 and 9,695.88

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Solution

The fourth proportional to 20,075.40, 30,114.04 and 9,695.88 is: 14,544.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,075.40 : 30,114.04 = 9,695.88 : x
  2. Step 2: Convert to fraction form
    20,075.40/30,114.04 = 9,695.88/x
  3. Step 3: Cross multiply
    20,075.40x = 30,114.04 × 9,695.88
  4. Step 4: Simplify right side
    20,075.40x = 291,982,118.16
  5. Step 5: Solve for x
    x = 291,982,118.16/20,075.40
  6. Step 6: Final answer
    x = 14,544.27

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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.