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Finding the Fourth Proportional to 21,637.68, 32,459.85 and 9,157.77

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Solution

The fourth proportional to 21,637.68, 32,459.85 and 9,157.77 is: 13,738.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,637.68 : 32,459.85 = 9,157.77 : x
  2. Step 2: Convert to fraction form
    21,637.68/32,459.85 = 9,157.77/x
  3. Step 3: Cross multiply
    21,637.68x = 32,459.85 × 9,157.77
  4. Step 4: Simplify right side
    21,637.68x = 297,259,840.53
  5. Step 5: Solve for x
    x = 297,259,840.53/21,637.68
  6. Step 6: Final answer
    x = 13,738.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.