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Finding the Fourth Proportional to 12,740.80, 19,111.18 and 8,357.23

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Solution

The fourth proportional to 12,740.80, 19,111.18 and 8,357.23 is: 12,535.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,740.80 : 19,111.18 = 8,357.23 : x
  2. Step 2: Convert to fraction form
    12,740.80/19,111.18 = 8,357.23/x
  3. Step 3: Cross multiply
    12,740.80x = 19,111.18 × 8,357.23
  4. Step 4: Simplify right side
    12,740.80x = 159,716,526.83
  5. Step 5: Solve for x
    x = 159,716,526.83/12,740.80
  6. Step 6: Final answer
    x = 12,535.83

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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.