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Finding the Fourth Proportional to 21,420.10, 32,125.21 and 8,094.52

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Solution

The fourth proportional to 21,420.10, 32,125.21 and 8,094.52 is: 12,139.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,420.10 : 32,125.21 = 8,094.52 : x
  2. Step 2: Convert to fraction form
    21,420.10/32,125.21 = 8,094.52/x
  3. Step 3: Cross multiply
    21,420.10x = 32,125.21 × 8,094.52
  4. Step 4: Simplify right side
    21,420.10x = 260,038,154.85
  5. Step 5: Solve for x
    x = 260,038,154.85/21,420.10
  6. Step 6: Final answer
    x = 12,139.91

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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.