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Finding the Fourth Proportional to 12,716.68, 19,053.90 and 9,000.52

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Solution

The fourth proportional to 12,716.68, 19,053.90 and 9,000.52 is: 13,485.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,716.68 : 19,053.90 = 9,000.52 : x
  2. Step 2: Convert to fraction form
    12,716.68/19,053.90 = 9,000.52/x
  3. Step 3: Cross multiply
    12,716.68x = 19,053.90 × 9,000.52
  4. Step 4: Simplify right side
    12,716.68x = 171,495,008.03
  5. Step 5: Solve for x
    x = 171,495,008.03/12,716.68
  6. Step 6: Final answer
    x = 13,485.83

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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.