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Finding the Fourth Proportional to 22,135.64, 30,547.20 and 12,199.64

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Solution

The fourth proportional to 22,135.64, 30,547.20 and 12,199.64 is: 16,835.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,135.64 : 30,547.20 = 12,199.64 : x
  2. Step 2: Convert to fraction form
    22,135.64/30,547.20 = 12,199.64/x
  3. Step 3: Cross multiply
    22,135.64x = 30,547.20 × 12,199.64
  4. Step 4: Simplify right side
    22,135.64x = 372,664,843.01
  5. Step 5: Solve for x
    x = 372,664,843.01/22,135.64
  6. Step 6: Final answer
    x = 16,835.51

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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.