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Finding the Fourth Proportional to 21,620.94, 32,432.49 and 9,141.54

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Solution

The fourth proportional to 21,620.94, 32,432.49 and 9,141.54 is: 13,712.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,620.94 : 32,432.49 = 9,141.54 : x
  2. Step 2: Convert to fraction form
    21,620.94/32,432.49 = 9,141.54/x
  3. Step 3: Cross multiply
    21,620.94x = 32,432.49 × 9,141.54
  4. Step 4: Simplify right side
    21,620.94x = 296,482,904.63
  5. Step 5: Solve for x
    x = 296,482,904.63/21,620.94
  6. Step 6: Final answer
    x = 13,712.77

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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.