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Finding the Fourth Proportional to 12,951.98, 19,402.25 and 9,980.12

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Solution

The fourth proportional to 12,951.98, 19,402.25 and 9,980.12 is: 14,950.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,951.98 : 19,402.25 = 9,980.12 : x
  2. Step 2: Convert to fraction form
    12,951.98/19,402.25 = 9,980.12/x
  3. Step 3: Cross multiply
    12,951.98x = 19,402.25 × 9,980.12
  4. Step 4: Simplify right side
    12,951.98x = 193,636,783.27
  5. Step 5: Solve for x
    x = 193,636,783.27/12,951.98
  6. Step 6: Final answer
    x = 14,950.36

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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.