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Finding the Fourth Proportional to 14,132.80, 19,501.86 and 7,844.50

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Solution

The fourth proportional to 14,132.80, 19,501.86 and 7,844.50 is: 10,824.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,132.80 : 19,501.86 = 7,844.50 : x
  2. Step 2: Convert to fraction form
    14,132.80/19,501.86 = 7,844.50/x
  3. Step 3: Cross multiply
    14,132.80x = 19,501.86 × 7,844.50
  4. Step 4: Simplify right side
    14,132.80x = 152,982,340.77
  5. Step 5: Solve for x
    x = 152,982,340.77/14,132.80
  6. Step 6: Final answer
    x = 10,824.63

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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.