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Finding the Fourth Proportional to 14,739.86, 22,104.74 and 7,984.02

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Solution

The fourth proportional to 14,739.86, 22,104.74 and 7,984.02 is: 11,973.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,739.86 : 22,104.74 = 7,984.02 : x
  2. Step 2: Convert to fraction form
    14,739.86/22,104.74 = 7,984.02/x
  3. Step 3: Cross multiply
    14,739.86x = 22,104.74 × 7,984.02
  4. Step 4: Simplify right side
    14,739.86x = 176,484,686.25
  5. Step 5: Solve for x
    x = 176,484,686.25/14,739.86
  6. Step 6: Final answer
    x = 11,973.29

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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.