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Finding the Fourth Proportional to 14,277.60, 19,711.22 and 9,976.77

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Solution

The fourth proportional to 14,277.60, 19,711.22 and 9,976.77 is: 13,773.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,277.60 : 19,711.22 = 9,976.77 : x
  2. Step 2: Convert to fraction form
    14,277.60/19,711.22 = 9,976.77/x
  3. Step 3: Cross multiply
    14,277.60x = 19,711.22 × 9,976.77
  4. Step 4: Simplify right side
    14,277.60x = 196,654,258.48
  5. Step 5: Solve for x
    x = 196,654,258.48/14,277.60
  6. Step 6: Final answer
    x = 13,773.62

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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.