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Finding the Fourth Proportional to 21,345.68, 32,014.60 and 5,759.64

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Solution

The fourth proportional to 21,345.68, 32,014.60 and 5,759.64 is: 8,638.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,345.68 : 32,014.60 = 5,759.64 : x
  2. Step 2: Convert to fraction form
    21,345.68/32,014.60 = 5,759.64/x
  3. Step 3: Cross multiply
    21,345.68x = 32,014.60 × 5,759.64
  4. Step 4: Simplify right side
    21,345.68x = 184,392,570.74
  5. Step 5: Solve for x
    x = 184,392,570.74/21,345.68
  6. Step 6: Final answer
    x = 8,638.40

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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.