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Finding the Fourth Proportional to 12,716.83, 19,071.87 and 9,008.11

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Solution

The fourth proportional to 12,716.83, 19,071.87 and 9,008.11 is: 13,509.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,716.83 : 19,071.87 = 9,008.11 : x
  2. Step 2: Convert to fraction form
    12,716.83/19,071.87 = 9,008.11/x
  3. Step 3: Cross multiply
    12,716.83x = 19,071.87 × 9,008.11
  4. Step 4: Simplify right side
    12,716.83x = 171,801,502.87
  5. Step 5: Solve for x
    x = 171,801,502.87/12,716.83
  6. Step 6: Final answer
    x = 13,509.77

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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.