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Finding the Fourth Proportional to 15,817.34, 21,826.86 and 8,742.80

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Solution

The fourth proportional to 15,817.34, 21,826.86 and 8,742.80 is: 12,064.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,817.34 : 21,826.86 = 8,742.80 : x
  2. Step 2: Convert to fraction form
    15,817.34/21,826.86 = 8,742.80/x
  3. Step 3: Cross multiply
    15,817.34x = 21,826.86 × 8,742.80
  4. Step 4: Simplify right side
    15,817.34x = 190,827,871.61
  5. Step 5: Solve for x
    x = 190,827,871.61/15,817.34
  6. Step 6: Final answer
    x = 12,064.47

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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.