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Finding the Fourth Proportional to 16,413, 24,603.10 and 15,177.36

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Solution

The fourth proportional to 16,413, 24,603.10 and 15,177.36 is: 22,750.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,413 : 24,603.10 = 15,177.36 : x
  2. Step 2: Convert to fraction form
    16,413/24,603.10 = 15,177.36/x
  3. Step 3: Cross multiply
    16,413x = 24,603.10 × 15,177.36
  4. Step 4: Simplify right side
    16,413x = 373,410,105.82
  5. Step 5: Solve for x
    x = 373,410,105.82/16,413
  6. Step 6: Final answer
    x = 22,750.87

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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.