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Finding the Fourth Proportional to 24,870.65, 37,305.59 and 9,075.58

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Solution

The fourth proportional to 24,870.65, 37,305.59 and 9,075.58 is: 13,613.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,870.65 : 37,305.59 = 9,075.58 : x
  2. Step 2: Convert to fraction form
    24,870.65/37,305.59 = 9,075.58/x
  3. Step 3: Cross multiply
    24,870.65x = 37,305.59 × 9,075.58
  4. Step 4: Simplify right side
    24,870.65x = 338,569,727.85
  5. Step 5: Solve for x
    x = 338,569,727.85/24,870.65
  6. Step 6: Final answer
    x = 13,613.22

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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.