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Finding the Fourth Proportional to 22,336.32, 30,824.32 and 12,907.84

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Solution

The fourth proportional to 22,336.32, 30,824.32 and 12,907.84 is: 17,812.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,336.32 : 30,824.32 = 12,907.84 : x
  2. Step 2: Convert to fraction form
    22,336.32/30,824.32 = 12,907.84/x
  3. Step 3: Cross multiply
    22,336.32x = 30,824.32 × 12,907.84
  4. Step 4: Simplify right side
    22,336.32x = 397,875,390.67
  5. Step 5: Solve for x
    x = 397,875,390.67/22,336.32
  6. Step 6: Final answer
    x = 17,812.93

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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.