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Finding the Fourth Proportional to 14,332.72, 19,777.84 and 8,364.88

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Solution

The fourth proportional to 14,332.72, 19,777.84 and 8,364.88 is: 11,542.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,332.72 : 19,777.84 = 8,364.88 : x
  2. Step 2: Convert to fraction form
    14,332.72/19,777.84 = 8,364.88/x
  3. Step 3: Cross multiply
    14,332.72x = 19,777.84 × 8,364.88
  4. Step 4: Simplify right side
    14,332.72x = 165,439,258.26
  5. Step 5: Solve for x
    x = 165,439,258.26/14,332.72
  6. Step 6: Final answer
    x = 11,542.77

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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.