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Finding the Fourth Proportional to 21,440, 32,141.40 and 8,301.92

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Solution

The fourth proportional to 21,440, 32,141.40 and 8,301.92 is: 12,445.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,440 : 32,141.40 = 8,301.92 : x
  2. Step 2: Convert to fraction form
    21,440/32,141.40 = 8,301.92/x
  3. Step 3: Cross multiply
    21,440x = 32,141.40 × 8,301.92
  4. Step 4: Simplify right side
    21,440x = 266,835,331.49
  5. Step 5: Solve for x
    x = 266,835,331.49/21,440
  6. Step 6: Final answer
    x = 12,445.68

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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.