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Finding the Fourth Proportional to 20,862.74, 31,293.56 and 6,075.74

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Solution

The fourth proportional to 20,862.74, 31,293.56 and 6,075.74 is: 9,113.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,862.74 : 31,293.56 = 6,075.74 : x
  2. Step 2: Convert to fraction form
    20,862.74/31,293.56 = 6,075.74/x
  3. Step 3: Cross multiply
    20,862.74x = 31,293.56 × 6,075.74
  4. Step 4: Simplify right side
    20,862.74x = 190,131,534.23
  5. Step 5: Solve for x
    x = 190,131,534.23/20,862.74
  6. Step 6: Final answer
    x = 9,113.45

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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.