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Finding the Fourth Proportional to 12,138.40, 16,335 and 12,138.40

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Solution

The fourth proportional to 12,138.40, 16,335 and 12,138.40 is: 16,335

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138.40 : 16,335 = 12,138.40 : x
  2. Step 2: Convert to fraction form
    12,138.40/16,335 = 12,138.40/x
  3. Step 3: Cross multiply
    12,138.40x = 16,335 × 12,138.40
  4. Step 4: Simplify right side
    12,138.40x = 198,280,764
  5. Step 5: Solve for x
    x = 198,280,764/12,138.40
  6. Step 6: Final answer
    x = 16,335

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.