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Finding the Fourth Proportional to 12,895.65, 19,345.50 and 5,500.13

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Solution

The fourth proportional to 12,895.65, 19,345.50 and 5,500.13 is: 8,251.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,895.65 : 19,345.50 = 5,500.13 : x
  2. Step 2: Convert to fraction form
    12,895.65/19,345.50 = 5,500.13/x
  3. Step 3: Cross multiply
    12,895.65x = 19,345.50 × 5,500.13
  4. Step 4: Simplify right side
    12,895.65x = 106,402,668.19
  5. Step 5: Solve for x
    x = 106,402,668.19/12,895.65
  6. Step 6: Final answer
    x = 8,251.05

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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.