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Finding the Fourth Proportional to 13,776.64, 19,011.84 and 8,187.52

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Solution

The fourth proportional to 13,776.64, 19,011.84 and 8,187.52 is: 11,298.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,776.64 : 19,011.84 = 8,187.52 : x
  2. Step 2: Convert to fraction form
    13,776.64/19,011.84 = 8,187.52/x
  3. Step 3: Cross multiply
    13,776.64x = 19,011.84 × 8,187.52
  4. Step 4: Simplify right side
    13,776.64x = 155,659,820.24
  5. Step 5: Solve for x
    x = 155,659,820.24/13,776.64
  6. Step 6: Final answer
    x = 11,298.82

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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.