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Finding the Fourth Proportional to 14,350.68, 19,803.07 and 7,977.06

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Solution

The fourth proportional to 14,350.68, 19,803.07 and 7,977.06 is: 11,007.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,350.68 : 19,803.07 = 7,977.06 : x
  2. Step 2: Convert to fraction form
    14,350.68/19,803.07 = 7,977.06/x
  3. Step 3: Cross multiply
    14,350.68x = 19,803.07 × 7,977.06
  4. Step 4: Simplify right side
    14,350.68x = 157,970,277.57
  5. Step 5: Solve for x
    x = 157,970,277.57/14,350.68
  6. Step 6: Final answer
    x = 11,007.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.