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Finding the Fourth Proportional to 21,720, 29,973.63 and 12,288.36

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Solution

The fourth proportional to 21,720, 29,973.63 and 12,288.36 is: 16,957.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,720 : 29,973.63 = 12,288.36 : x
  2. Step 2: Convert to fraction form
    21,720/29,973.63 = 12,288.36/x
  3. Step 3: Cross multiply
    21,720x = 29,973.63 × 12,288.36
  4. Step 4: Simplify right side
    21,720x = 368,326,755.95
  5. Step 5: Solve for x
    x = 368,326,755.95/21,720
  6. Step 6: Final answer
    x = 16,957.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.