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Finding the Fourth Proportional to 23,543, 35,314.50 and 7,127

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Solution

The fourth proportional to 23,543, 35,314.50 and 7,127 is: 10,690.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,543 : 35,314.50 = 7,127 : x
  2. Step 2: Convert to fraction form
    23,543/35,314.50 = 7,127/x
  3. Step 3: Cross multiply
    23,543x = 35,314.50 × 7,127
  4. Step 4: Simplify right side
    23,543x = 251,686,441.50
  5. Step 5: Solve for x
    x = 251,686,441.50/23,543
  6. Step 6: Final answer
    x = 10,690.50

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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.