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Finding the Fourth Proportional to 16,496.42, 22,775.44 and 11,459.02

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Solution

The fourth proportional to 16,496.42, 22,775.44 and 11,459.02 is: 15,820.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,496.42 : 22,775.44 = 11,459.02 : x
  2. Step 2: Convert to fraction form
    16,496.42/22,775.44 = 11,459.02/x
  3. Step 3: Cross multiply
    16,496.42x = 22,775.44 × 11,459.02
  4. Step 4: Simplify right side
    16,496.42x = 260,984,222.47
  5. Step 5: Solve for x
    x = 260,984,222.47/16,496.42
  6. Step 6: Final answer
    x = 15,820.66

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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.