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Finding the Fourth Proportional to 21,572.34, 32,358.90 and 5,989.98

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Solution

The fourth proportional to 21,572.34, 32,358.90 and 5,989.98 is: 8,985.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,572.34 : 32,358.90 = 5,989.98 : x
  2. Step 2: Convert to fraction form
    21,572.34/32,358.90 = 5,989.98/x
  3. Step 3: Cross multiply
    21,572.34x = 32,358.90 × 5,989.98
  4. Step 4: Simplify right side
    21,572.34x = 193,829,163.82
  5. Step 5: Solve for x
    x = 193,829,163.82/21,572.34
  6. Step 6: Final answer
    x = 8,985.08

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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.