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Finding the Fourth Proportional to 14,811.75, 20,430.72 and 9,974.61

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Solution

The fourth proportional to 14,811.75, 20,430.72 and 9,974.61 is: 13,758.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,811.75 : 20,430.72 = 9,974.61 : x
  2. Step 2: Convert to fraction form
    14,811.75/20,430.72 = 9,974.61/x
  3. Step 3: Cross multiply
    14,811.75x = 20,430.72 × 9,974.61
  4. Step 4: Simplify right side
    14,811.75x = 203,788,464.02
  5. Step 5: Solve for x
    x = 203,788,464.02/14,811.75
  6. Step 6: Final answer
    x = 13,758.57

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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.