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Finding the Fourth Proportional to 21,677.66, 29,913.80 and 12,116.82

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Solution

The fourth proportional to 21,677.66, 29,913.80 and 12,116.82 is: 16,720.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,677.66 : 29,913.80 = 12,116.82 : x
  2. Step 2: Convert to fraction form
    21,677.66/29,913.80 = 12,116.82/x
  3. Step 3: Cross multiply
    21,677.66x = 29,913.80 × 12,116.82
  4. Step 4: Simplify right side
    21,677.66x = 362,460,130.12
  5. Step 5: Solve for x
    x = 362,460,130.12/21,677.66
  6. Step 6: Final answer
    x = 16,720.45

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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.