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Finding the Fourth Proportional to 13,624.64, 18,803.85 and 8,320.76

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Solution

The fourth proportional to 13,624.64, 18,803.85 and 8,320.76 is: 11,483.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,624.64 : 18,803.85 = 8,320.76 : x
  2. Step 2: Convert to fraction form
    13,624.64/18,803.85 = 8,320.76/x
  3. Step 3: Cross multiply
    13,624.64x = 18,803.85 × 8,320.76
  4. Step 4: Simplify right side
    13,624.64x = 156,462,322.93
  5. Step 5: Solve for x
    x = 156,462,322.93/13,624.64
  6. Step 6: Final answer
    x = 11,483.78

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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.