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Finding the Fourth Proportional to 14,743.40, 20,345.78 and 8,029.02

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Solution

The fourth proportional to 14,743.40, 20,345.78 and 8,029.02 is: 11,079.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,743.40 : 20,345.78 = 8,029.02 : x
  2. Step 2: Convert to fraction form
    14,743.40/20,345.78 = 8,029.02/x
  3. Step 3: Cross multiply
    14,743.40x = 20,345.78 × 8,029.02
  4. Step 4: Simplify right side
    14,743.40x = 163,356,634.39
  5. Step 5: Solve for x
    x = 163,356,634.39/14,743.40
  6. Step 6: Final answer
    x = 11,079.98

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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.