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Finding the Fourth Proportional to 15,840, 21,839.31 and 10,164.74

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Solution

The fourth proportional to 15,840, 21,839.31 and 10,164.74 is: 14,014.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,840 : 21,839.31 = 10,164.74 : x
  2. Step 2: Convert to fraction form
    15,840/21,839.31 = 10,164.74/x
  3. Step 3: Cross multiply
    15,840x = 21,839.31 × 10,164.74
  4. Step 4: Simplify right side
    15,840x = 221,990,798.73
  5. Step 5: Solve for x
    x = 221,990,798.73/15,840
  6. Step 6: Final answer
    x = 14,014.57

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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.