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Finding the Fourth Proportional to 22,685.94, 34,006.74 and 10,209.12

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Solution

The fourth proportional to 22,685.94, 34,006.74 and 10,209.12 is: 15,303.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,685.94 : 34,006.74 = 10,209.12 : x
  2. Step 2: Convert to fraction form
    22,685.94/34,006.74 = 10,209.12/x
  3. Step 3: Cross multiply
    22,685.94x = 34,006.74 × 10,209.12
  4. Step 4: Simplify right side
    22,685.94x = 347,178,889.47
  5. Step 5: Solve for x
    x = 347,178,889.47/22,685.94
  6. Step 6: Final answer
    x = 15,303.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.