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Finding the Fourth Proportional to 12,814.98, 19,130.85 and 11,901.30

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Solution

The fourth proportional to 12,814.98, 19,130.85 and 11,901.30 is: 17,766.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.98 : 19,130.85 = 11,901.30 : x
  2. Step 2: Convert to fraction form
    12,814.98/19,130.85 = 11,901.30/x
  3. Step 3: Cross multiply
    12,814.98x = 19,130.85 × 11,901.30
  4. Step 4: Simplify right side
    12,814.98x = 227,681,985.11
  5. Step 5: Solve for x
    x = 227,681,985.11/12,814.98
  6. Step 6: Final answer
    x = 17,766.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.