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Finding the Fourth Proportional to 21,541.32, 32,309.88 and 7,497.96

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Solution

The fourth proportional to 21,541.32, 32,309.88 and 7,497.96 is: 11,246.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,541.32 : 32,309.88 = 7,497.96 : x
  2. Step 2: Convert to fraction form
    21,541.32/32,309.88 = 7,497.96/x
  3. Step 3: Cross multiply
    21,541.32x = 32,309.88 × 7,497.96
  4. Step 4: Simplify right side
    21,541.32x = 242,258,187.84
  5. Step 5: Solve for x
    x = 242,258,187.84/21,541.32
  6. Step 6: Final answer
    x = 11,246.21

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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.