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Finding the Fourth Proportional to 15,713.64, 21,672.72 and 11,464.02

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Solution

The fourth proportional to 15,713.64, 21,672.72 and 11,464.02 is: 15,811.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,713.64 : 21,672.72 = 11,464.02 : x
  2. Step 2: Convert to fraction form
    15,713.64/21,672.72 = 11,464.02/x
  3. Step 3: Cross multiply
    15,713.64x = 21,672.72 × 11,464.02
  4. Step 4: Simplify right side
    15,713.64x = 248,456,495.53
  5. Step 5: Solve for x
    x = 248,456,495.53/15,713.64
  6. Step 6: Final answer
    x = 15,811.52

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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.