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Finding the Fourth Proportional to 15,816.90, 21,826.80 and 8,742.90

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Solution

The fourth proportional to 15,816.90, 21,826.80 and 8,742.90 is: 12,064.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,816.90 : 21,826.80 = 8,742.90 : x
  2. Step 2: Convert to fraction form
    15,816.90/21,826.80 = 8,742.90/x
  3. Step 3: Cross multiply
    15,816.90x = 21,826.80 × 8,742.90
  4. Step 4: Simplify right side
    15,816.90x = 190,829,529.72
  5. Step 5: Solve for x
    x = 190,829,529.72/15,816.90
  6. Step 6: Final answer
    x = 12,064.91

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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.