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Finding the Fourth Proportional to 13,314.24, 18,374.64 and 7,726.08

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Solution

The fourth proportional to 13,314.24, 18,374.64 and 7,726.08 is: 10,662.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,314.24 : 18,374.64 = 7,726.08 : x
  2. Step 2: Convert to fraction form
    13,314.24/18,374.64 = 7,726.08/x
  3. Step 3: Cross multiply
    13,314.24x = 18,374.64 × 7,726.08
  4. Step 4: Simplify right side
    13,314.24x = 141,963,938.61
  5. Step 5: Solve for x
    x = 141,963,938.61/13,314.24
  6. Step 6: Final answer
    x = 10,662.56

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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.