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Finding the Fourth Proportional to 19,500.70, 29,255.45 and 6,174.50

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Solution

The fourth proportional to 19,500.70, 29,255.45 and 6,174.50 is: 9,263.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,500.70 : 29,255.45 = 6,174.50 : x
  2. Step 2: Convert to fraction form
    19,500.70/29,255.45 = 6,174.50/x
  3. Step 3: Cross multiply
    19,500.70x = 29,255.45 × 6,174.50
  4. Step 4: Simplify right side
    19,500.70x = 180,637,720.16
  5. Step 5: Solve for x
    x = 180,637,720.16/19,500.70
  6. Step 6: Final answer
    x = 9,263.14

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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.