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Finding the Fourth Proportional to 22,135.79, 30,547.38 and 12,199.79

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Solution

The fourth proportional to 22,135.79, 30,547.38 and 12,199.79 is: 16,835.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,135.79 : 30,547.38 = 12,199.79 : x
  2. Step 2: Convert to fraction form
    22,135.79/30,547.38 = 12,199.79/x
  3. Step 3: Cross multiply
    22,135.79x = 30,547.38 × 12,199.79
  4. Step 4: Simplify right side
    22,135.79x = 372,671,468.31
  5. Step 5: Solve for x
    x = 372,671,468.31/22,135.79
  6. Step 6: Final answer
    x = 16,835.70

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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.