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Finding the Fourth Proportional to 21,499, 29,671.86 and 13,120.36

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Solution

The fourth proportional to 21,499, 29,671.86 and 13,120.36 is: 18,108.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,499 : 29,671.86 = 13,120.36 : x
  2. Step 2: Convert to fraction form
    21,499/29,671.86 = 13,120.36/x
  3. Step 3: Cross multiply
    21,499x = 29,671.86 × 13,120.36
  4. Step 4: Simplify right side
    21,499x = 389,305,485.07
  5. Step 5: Solve for x
    x = 389,305,485.07/21,499
  6. Step 6: Final answer
    x = 18,108.07

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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.