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Finding the Fourth Proportional to 23,428.50, 35,147.61 and 9,577.50

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Solution

The fourth proportional to 23,428.50, 35,147.61 and 9,577.50 is: 14,368.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,428.50 : 35,147.61 = 9,577.50 : x
  2. Step 2: Convert to fraction form
    23,428.50/35,147.61 = 9,577.50/x
  3. Step 3: Cross multiply
    23,428.50x = 35,147.61 × 9,577.50
  4. Step 4: Simplify right side
    23,428.50x = 336,626,234.78
  5. Step 5: Solve for x
    x = 336,626,234.78/23,428.50
  6. Step 6: Final answer
    x = 14,368.24

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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.