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Finding the Fourth Proportional to 16,138.37, 22,270.95 and 9,064.79

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Solution

The fourth proportional to 16,138.37, 22,270.95 and 9,064.79 is: 12,509.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,138.37 : 22,270.95 = 9,064.79 : x
  2. Step 2: Convert to fraction form
    16,138.37/22,270.95 = 9,064.79/x
  3. Step 3: Cross multiply
    16,138.37x = 22,270.95 × 9,064.79
  4. Step 4: Simplify right side
    16,138.37x = 201,881,373.50
  5. Step 5: Solve for x
    x = 201,881,373.50/16,138.37
  6. Step 6: Final answer
    x = 12,509.41

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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.