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Finding the Fourth Proportional to 21,533.72, 32,315.34 and 8,386.16

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Solution

The fourth proportional to 21,533.72, 32,315.34 and 8,386.16 is: 12,584.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,533.72 : 32,315.34 = 8,386.16 : x
  2. Step 2: Convert to fraction form
    21,533.72/32,315.34 = 8,386.16/x
  3. Step 3: Cross multiply
    21,533.72x = 32,315.34 × 8,386.16
  4. Step 4: Simplify right side
    21,533.72x = 271,001,611.69
  5. Step 5: Solve for x
    x = 271,001,611.69/21,533.72
  6. Step 6: Final answer
    x = 12,584.99

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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.