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Finding the Fourth Proportional to 21,420.17, 32,137.85 and 9,572.85

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Solution

The fourth proportional to 21,420.17, 32,137.85 and 9,572.85 is: 14,362.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,420.17 : 32,137.85 = 9,572.85 : x
  2. Step 2: Convert to fraction form
    21,420.17/32,137.85 = 9,572.85/x
  3. Step 3: Cross multiply
    21,420.17x = 32,137.85 × 9,572.85
  4. Step 4: Simplify right side
    21,420.17x = 307,650,769.51
  5. Step 5: Solve for x
    x = 307,650,769.51/21,420.17
  6. Step 6: Final answer
    x = 14,362.67

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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.