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Finding the Fourth Proportional to 15,723.14, 21,698.51 and 8,650.10

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Solution

The fourth proportional to 15,723.14, 21,698.51 and 8,650.10 is: 11,937.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,723.14 : 21,698.51 = 8,650.10 : x
  2. Step 2: Convert to fraction form
    15,723.14/21,698.51 = 8,650.10/x
  3. Step 3: Cross multiply
    15,723.14x = 21,698.51 × 8,650.10
  4. Step 4: Simplify right side
    15,723.14x = 187,694,281.35
  5. Step 5: Solve for x
    x = 187,694,281.35/15,723.14
  6. Step 6: Final answer
    x = 11,937.46

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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.