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Finding the Fourth Proportional to 15,681, 21,657.74 and 10,327.37

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Solution

The fourth proportional to 15,681, 21,657.74 and 10,327.37 is: 14,263.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,681 : 21,657.74 = 10,327.37 : x
  2. Step 2: Convert to fraction form
    15,681/21,657.74 = 10,327.37/x
  3. Step 3: Cross multiply
    15,681x = 21,657.74 × 10,327.37
  4. Step 4: Simplify right side
    15,681x = 223,667,334.42
  5. Step 5: Solve for x
    x = 223,667,334.42/15,681
  6. Step 6: Final answer
    x = 14,263.59

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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.