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Finding the Fourth Proportional to 14,177.54, 19,544.73 and 9,972.74

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Solution

The fourth proportional to 14,177.54, 19,544.73 and 9,972.74 is: 13,748.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,177.54 : 19,544.73 = 9,972.74 : x
  2. Step 2: Convert to fraction form
    14,177.54/19,544.73 = 9,972.74/x
  3. Step 3: Cross multiply
    14,177.54x = 19,544.73 × 9,972.74
  4. Step 4: Simplify right side
    14,177.54x = 194,914,510.66
  5. Step 5: Solve for x
    x = 194,914,510.66/14,177.54
  6. Step 6: Final answer
    x = 13,748.12

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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.