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Finding the Fourth Proportional to 12,972.96, 19,441.17 and 7,417.98

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Solution

The fourth proportional to 12,972.96, 19,441.17 and 7,417.98 is: 11,116.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,972.96 : 19,441.17 = 7,417.98 : x
  2. Step 2: Convert to fraction form
    12,972.96/19,441.17 = 7,417.98/x
  3. Step 3: Cross multiply
    12,972.96x = 19,441.17 × 7,417.98
  4. Step 4: Simplify right side
    12,972.96x = 144,214,210.24
  5. Step 5: Solve for x
    x = 144,214,210.24/12,972.96
  6. Step 6: Final answer
    x = 11,116.52

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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.