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Finding the Fourth Proportional to 15,710.68, 21,659.16 and 11,453.32

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Solution

The fourth proportional to 15,710.68, 21,659.16 and 11,453.32 is: 15,789.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,710.68 : 21,659.16 = 11,453.32 : x
  2. Step 2: Convert to fraction form
    15,710.68/21,659.16 = 11,453.32/x
  3. Step 3: Cross multiply
    15,710.68x = 21,659.16 × 11,453.32
  4. Step 4: Simplify right side
    15,710.68x = 248,069,290.41
  5. Step 5: Solve for x
    x = 248,069,290.41/15,710.68
  6. Step 6: Final answer
    x = 15,789.85

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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.