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Finding the Fourth Proportional to 21,009.16, 31,494.26 and 7,851.52

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Solution

The fourth proportional to 21,009.16, 31,494.26 and 7,851.52 is: 11,770.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,009.16 : 31,494.26 = 7,851.52 : x
  2. Step 2: Convert to fraction form
    21,009.16/31,494.26 = 7,851.52/x
  3. Step 3: Cross multiply
    21,009.16x = 31,494.26 × 7,851.52
  4. Step 4: Simplify right side
    21,009.16x = 247,277,812.28
  5. Step 5: Solve for x
    x = 247,277,812.28/21,009.16
  6. Step 6: Final answer
    x = 11,770.00

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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.