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Finding the Fourth Proportional to 21,386.84, 32,086.74 and 9,696.92

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Solution

The fourth proportional to 21,386.84, 32,086.74 and 9,696.92 is: 14,548.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,386.84 : 32,086.74 = 9,696.92 : x
  2. Step 2: Convert to fraction form
    21,386.84/32,086.74 = 9,696.92/x
  3. Step 3: Cross multiply
    21,386.84x = 32,086.74 × 9,696.92
  4. Step 4: Simplify right side
    21,386.84x = 311,142,550.84
  5. Step 5: Solve for x
    x = 311,142,550.84/21,386.84
  6. Step 6: Final answer
    x = 14,548.32

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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.