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Finding the Fourth Proportional to 23,560.50, 35,356.95 and 9,709.50

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Solution

The fourth proportional to 23,560.50, 35,356.95 and 9,709.50 is: 14,570.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,560.50 : 35,356.95 = 9,709.50 : x
  2. Step 2: Convert to fraction form
    23,560.50/35,356.95 = 9,709.50/x
  3. Step 3: Cross multiply
    23,560.50x = 35,356.95 × 9,709.50
  4. Step 4: Simplify right side
    23,560.50x = 343,298,306.03
  5. Step 5: Solve for x
    x = 343,298,306.03/23,560.50
  6. Step 6: Final answer
    x = 14,570.93

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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.