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Finding the Fourth Proportional to 21,580.93, 32,335.76 and 9,868.33

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Solution

The fourth proportional to 21,580.93, 32,335.76 and 9,868.33 is: 14,786.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,580.93 : 32,335.76 = 9,868.33 : x
  2. Step 2: Convert to fraction form
    21,580.93/32,335.76 = 9,868.33/x
  3. Step 3: Cross multiply
    21,580.93x = 32,335.76 × 9,868.33
  4. Step 4: Simplify right side
    21,580.93x = 319,099,960.06
  5. Step 5: Solve for x
    x = 319,099,960.06/21,580.93
  6. Step 6: Final answer
    x = 14,786.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.