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Finding the Fourth Proportional to 23,164.76, 34,746.80 and 7,370.75

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Solution

The fourth proportional to 23,164.76, 34,746.80 and 7,370.75 is: 11,056.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,164.76 : 34,746.80 = 7,370.75 : x
  2. Step 2: Convert to fraction form
    23,164.76/34,746.80 = 7,370.75/x
  3. Step 3: Cross multiply
    23,164.76x = 34,746.80 × 7,370.75
  4. Step 4: Simplify right side
    23,164.76x = 256,109,976.10
  5. Step 5: Solve for x
    x = 256,109,976.10/23,164.76
  6. Step 6: Final answer
    x = 11,056.02

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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.