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Finding the Fourth Proportional to 17,948.16, 26,922.24 and 8,075.90

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Solution

The fourth proportional to 17,948.16, 26,922.24 and 8,075.90 is: 12,113.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,948.16 : 26,922.24 = 8,075.90 : x
  2. Step 2: Convert to fraction form
    17,948.16/26,922.24 = 8,075.90/x
  3. Step 3: Cross multiply
    17,948.16x = 26,922.24 × 8,075.90
  4. Step 4: Simplify right side
    17,948.16x = 217,421,385.32
  5. Step 5: Solve for x
    x = 217,421,385.32/17,948.16
  6. Step 6: Final answer
    x = 12,113.85

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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.