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Finding the Fourth Proportional to 21,323.55, 31,985.33 and 5,741.18

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Solution

The fourth proportional to 21,323.55, 31,985.33 and 5,741.18 is: 8,611.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,323.55 : 31,985.33 = 5,741.18 : x
  2. Step 2: Convert to fraction form
    21,323.55/31,985.33 = 5,741.18/x
  3. Step 3: Cross multiply
    21,323.55x = 31,985.33 × 5,741.18
  4. Step 4: Simplify right side
    21,323.55x = 183,633,500.50
  5. Step 5: Solve for x
    x = 183,633,500.50/21,323.55
  6. Step 6: Final answer
    x = 8,611.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.