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Finding the Fourth Proportional to 13,642.64, 18,840.36 and 12,866.96

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Solution

The fourth proportional to 13,642.64, 18,840.36 and 12,866.96 is: 17,769.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.64 : 18,840.36 = 12,866.96 : x
  2. Step 2: Convert to fraction form
    13,642.64/18,840.36 = 12,866.96/x
  3. Step 3: Cross multiply
    13,642.64x = 18,840.36 × 12,866.96
  4. Step 4: Simplify right side
    13,642.64x = 242,418,158.51
  5. Step 5: Solve for x
    x = 242,418,158.51/13,642.64
  6. Step 6: Final answer
    x = 17,769.15

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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.