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Finding the Fourth Proportional to 21,730.88, 29,989.32 and 12,299.24

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Solution

The fourth proportional to 21,730.88, 29,989.32 and 12,299.24 is: 16,973.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,730.88 : 29,989.32 = 12,299.24 : x
  2. Step 2: Convert to fraction form
    21,730.88/29,989.32 = 12,299.24/x
  3. Step 3: Cross multiply
    21,730.88x = 29,989.32 × 12,299.24
  4. Step 4: Simplify right side
    21,730.88x = 368,845,844.12
  5. Step 5: Solve for x
    x = 368,845,844.12/21,730.88
  6. Step 6: Final answer
    x = 16,973.35

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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.