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Finding the Fourth Proportional to 16,138.16, 22,272.75 and 9,064.59

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Solution

The fourth proportional to 16,138.16, 22,272.75 and 9,064.59 is: 12,510.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,138.16 : 22,272.75 = 9,064.59 : x
  2. Step 2: Convert to fraction form
    16,138.16/22,272.75 = 9,064.59/x
  3. Step 3: Cross multiply
    16,138.16x = 22,272.75 × 9,064.59
  4. Step 4: Simplify right side
    16,138.16x = 201,893,263.40
  5. Step 5: Solve for x
    x = 201,893,263.40/16,138.16
  6. Step 6: Final answer
    x = 12,510.30

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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.