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Finding the Fourth Proportional to 13,484.32, 18,566.02 and 11,463.76

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Solution

The fourth proportional to 13,484.32, 18,566.02 and 11,463.76 is: 15,783.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,484.32 : 18,566.02 = 11,463.76 : x
  2. Step 2: Convert to fraction form
    13,484.32/18,566.02 = 11,463.76/x
  3. Step 3: Cross multiply
    13,484.32x = 18,566.02 × 11,463.76
  4. Step 4: Simplify right side
    13,484.32x = 212,836,340.12
  5. Step 5: Solve for x
    x = 212,836,340.12/13,484.32
  6. Step 6: Final answer
    x = 15,783.99

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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.