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Finding the Fourth Proportional to 21,478.84, 32,201.25 and 9,785.68

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Solution

The fourth proportional to 21,478.84, 32,201.25 and 9,785.68 is: 14,670.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,478.84 : 32,201.25 = 9,785.68 : x
  2. Step 2: Convert to fraction form
    21,478.84/32,201.25 = 9,785.68/x
  3. Step 3: Cross multiply
    21,478.84x = 32,201.25 × 9,785.68
  4. Step 4: Simplify right side
    21,478.84x = 315,111,128.10
  5. Step 5: Solve for x
    x = 315,111,128.10/21,478.84
  6. Step 6: Final answer
    x = 14,670.77

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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.