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Finding the Fourth Proportional to 12,971.66, 19,441.98 and 7,428.80

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Solution

The fourth proportional to 12,971.66, 19,441.98 and 7,428.80 is: 11,134.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,971.66 : 19,441.98 = 7,428.80 : x
  2. Step 2: Convert to fraction form
    12,971.66/19,441.98 = 7,428.80/x
  3. Step 3: Cross multiply
    12,971.66x = 19,441.98 × 7,428.80
  4. Step 4: Simplify right side
    12,971.66x = 144,430,581.02
  5. Step 5: Solve for x
    x = 144,430,581.02/12,971.66
  6. Step 6: Final answer
    x = 11,134.32

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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.