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Finding the Fourth Proportional to 23,423.50, 35,140.11 and 9,572.50

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Solution

The fourth proportional to 23,423.50, 35,140.11 and 9,572.50 is: 14,360.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,423.50 : 35,140.11 = 9,572.50 : x
  2. Step 2: Convert to fraction form
    23,423.50/35,140.11 = 9,572.50/x
  3. Step 3: Cross multiply
    23,423.50x = 35,140.11 × 9,572.50
  4. Step 4: Simplify right side
    23,423.50x = 336,378,702.98
  5. Step 5: Solve for x
    x = 336,378,702.98/23,423.50
  6. Step 6: Final answer
    x = 14,360.74

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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.