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Finding the Fourth Proportional to 21,340.02, 32,006.38 and 5,754

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Solution

The fourth proportional to 21,340.02, 32,006.38 and 5,754 is: 8,630.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,340.02 : 32,006.38 = 5,754 : x
  2. Step 2: Convert to fraction form
    21,340.02/32,006.38 = 5,754/x
  3. Step 3: Cross multiply
    21,340.02x = 32,006.38 × 5,754
  4. Step 4: Simplify right side
    21,340.02x = 184,164,710.52
  5. Step 5: Solve for x
    x = 184,164,710.52/21,340.02
  6. Step 6: Final answer
    x = 8,630.02

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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.