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Finding the Fourth Proportional to 29,380.32, 44,075.95 and 9,659.66

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Solution

The fourth proportional to 29,380.32, 44,075.95 and 9,659.66 is: 14,491.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,380.32 : 44,075.95 = 9,659.66 : x
  2. Step 2: Convert to fraction form
    29,380.32/44,075.95 = 9,659.66/x
  3. Step 3: Cross multiply
    29,380.32x = 44,075.95 × 9,659.66
  4. Step 4: Simplify right side
    29,380.32x = 425,758,446.65
  5. Step 5: Solve for x
    x = 425,758,446.65/29,380.32
  6. Step 6: Final answer
    x = 14,491.28

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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.