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Finding the Fourth Proportional to 22,032, 30,404.16 and 12,096.64

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Solution

The fourth proportional to 22,032, 30,404.16 and 12,096.64 is: 16,693.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,032 : 30,404.16 = 12,096.64 : x
  2. Step 2: Convert to fraction form
    22,032/30,404.16 = 12,096.64/x
  3. Step 3: Cross multiply
    22,032x = 30,404.16 × 12,096.64
  4. Step 4: Simplify right side
    22,032x = 367,788,178.02
  5. Step 5: Solve for x
    x = 367,788,178.02/22,032
  6. Step 6: Final answer
    x = 16,693.36

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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.