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Finding the Fourth Proportional to 21,344.58, 32,017.14 and 5,762.52

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Solution

The fourth proportional to 21,344.58, 32,017.14 and 5,762.52 is: 8,643.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,344.58 : 32,017.14 = 5,762.52 : x
  2. Step 2: Convert to fraction form
    21,344.58/32,017.14 = 5,762.52/x
  3. Step 3: Cross multiply
    21,344.58x = 32,017.14 × 5,762.52
  4. Step 4: Simplify right side
    21,344.58x = 184,499,409.59
  5. Step 5: Solve for x
    x = 184,499,409.59/21,344.58
  6. Step 6: Final answer
    x = 8,643.85

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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.