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Finding the Fourth Proportional to 14,738.25, 22,103.74 and 9,188.74

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Solution

The fourth proportional to 14,738.25, 22,103.74 and 9,188.74 is: 13,780.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,738.25 : 22,103.74 = 9,188.74 : x
  2. Step 2: Convert to fraction form
    14,738.25/22,103.74 = 9,188.74/x
  3. Step 3: Cross multiply
    14,738.25x = 22,103.74 × 9,188.74
  4. Step 4: Simplify right side
    14,738.25x = 203,105,507.32
  5. Step 5: Solve for x
    x = 203,105,507.32/14,738.25
  6. Step 6: Final answer
    x = 13,780.84

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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.