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Finding the Fourth Proportional to 21,205.92, 29,264.32 and 11,646.72

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Solution

The fourth proportional to 21,205.92, 29,264.32 and 11,646.72 is: 16,072.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,205.92 : 29,264.32 = 11,646.72 : x
  2. Step 2: Convert to fraction form
    21,205.92/29,264.32 = 11,646.72/x
  3. Step 3: Cross multiply
    21,205.92x = 29,264.32 × 11,646.72
  4. Step 4: Simplify right side
    21,205.92x = 340,833,341.03
  5. Step 5: Solve for x
    x = 340,833,341.03/21,205.92
  6. Step 6: Final answer
    x = 16,072.56

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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.