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Finding the Fourth Proportional to 26,567.84, 36,663.12 and 14,630.92

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Solution

The fourth proportional to 26,567.84, 36,663.12 and 14,630.92 is: 20,190.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,567.84 : 36,663.12 = 14,630.92 : x
  2. Step 2: Convert to fraction form
    26,567.84/36,663.12 = 14,630.92/x
  3. Step 3: Cross multiply
    26,567.84x = 36,663.12 × 14,630.92
  4. Step 4: Simplify right side
    26,567.84x = 536,415,175.67
  5. Step 5: Solve for x
    x = 536,415,175.67/26,567.84
  6. Step 6: Final answer
    x = 20,190.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.