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Finding the Fourth Proportional to 21,802.13, 32,708.06 and 7,951.13

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Solution

The fourth proportional to 21,802.13, 32,708.06 and 7,951.13 is: 11,928.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,802.13 : 32,708.06 = 7,951.13 : x
  2. Step 2: Convert to fraction form
    21,802.13/32,708.06 = 7,951.13/x
  3. Step 3: Cross multiply
    21,802.13x = 32,708.06 × 7,951.13
  4. Step 4: Simplify right side
    21,802.13x = 260,065,893.45
  5. Step 5: Solve for x
    x = 260,065,893.45/21,802.13
  6. Step 6: Final answer
    x = 11,928.47

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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.