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Finding the Fourth Proportional to 14,130.60, 19,499.36 and 7,843

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Solution

The fourth proportional to 14,130.60, 19,499.36 and 7,843 is: 10,822.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,130.60 : 19,499.36 = 7,843 : x
  2. Step 2: Convert to fraction form
    14,130.60/19,499.36 = 7,843/x
  3. Step 3: Cross multiply
    14,130.60x = 19,499.36 × 7,843
  4. Step 4: Simplify right side
    14,130.60x = 152,933,480.48
  5. Step 5: Solve for x
    x = 152,933,480.48/14,130.60
  6. Step 6: Final answer
    x = 10,822.86

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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.