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Finding the Fourth Proportional to 21,204.40, 31,828.68 and 15,664

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Solution

The fourth proportional to 21,204.40, 31,828.68 and 15,664 is: 23,512.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,204.40 : 31,828.68 = 15,664 : x
  2. Step 2: Convert to fraction form
    21,204.40/31,828.68 = 15,664/x
  3. Step 3: Cross multiply
    21,204.40x = 31,828.68 × 15,664
  4. Step 4: Simplify right side
    21,204.40x = 498,564,443.52
  5. Step 5: Solve for x
    x = 498,564,443.52/21,204.40
  6. Step 6: Final answer
    x = 23,512.31

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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.