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Finding the Fourth Proportional to 12,557.99, 18,855.48 and 7,022.18

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Solution

The fourth proportional to 12,557.99, 18,855.48 and 7,022.18 is: 10,543.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,557.99 : 18,855.48 = 7,022.18 : x
  2. Step 2: Convert to fraction form
    12,557.99/18,855.48 = 7,022.18/x
  3. Step 3: Cross multiply
    12,557.99x = 18,855.48 × 7,022.18
  4. Step 4: Simplify right side
    12,557.99x = 132,406,574.55
  5. Step 5: Solve for x
    x = 132,406,574.55/12,557.99
  6. Step 6: Final answer
    x = 10,543.61

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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.