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Finding the Fourth Proportional to 21,340.14, 32,009.40 and 5,758.17

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Solution

The fourth proportional to 21,340.14, 32,009.40 and 5,758.17 is: 8,637.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,340.14 : 32,009.40 = 5,758.17 : x
  2. Step 2: Convert to fraction form
    21,340.14/32,009.40 = 5,758.17/x
  3. Step 3: Cross multiply
    21,340.14x = 32,009.40 × 5,758.17
  4. Step 4: Simplify right side
    21,340.14x = 184,315,566.80
  5. Step 5: Solve for x
    x = 184,315,566.80/21,340.14
  6. Step 6: Final answer
    x = 8,637.04

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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.