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Finding the Fourth Proportional to 12,716.38, 19,071.83 and 8,030.13

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Solution

The fourth proportional to 12,716.38, 19,071.83 and 8,030.13 is: 12,043.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,716.38 : 19,071.83 = 8,030.13 : x
  2. Step 2: Convert to fraction form
    12,716.38/19,071.83 = 8,030.13/x
  3. Step 3: Cross multiply
    12,716.38x = 19,071.83 × 8,030.13
  4. Step 4: Simplify right side
    12,716.38x = 153,149,330.07
  5. Step 5: Solve for x
    x = 153,149,330.07/12,716.38
  6. Step 6: Final answer
    x = 12,043.47

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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.