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Finding the Fourth Proportional to 21,580, 29,781.18 and 12,020.32

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Solution

The fourth proportional to 21,580, 29,781.18 and 12,020.32 is: 16,588.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,580 : 29,781.18 = 12,020.32 : x
  2. Step 2: Convert to fraction form
    21,580/29,781.18 = 12,020.32/x
  3. Step 3: Cross multiply
    21,580x = 29,781.18 × 12,020.32
  4. Step 4: Simplify right side
    21,580x = 357,979,313.58
  5. Step 5: Solve for x
    x = 357,979,313.58/21,580
  6. Step 6: Final answer
    x = 16,588.48

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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.