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Finding the Fourth Proportional to 23,405.52, 35,108.31 and 7,823.16

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Solution

The fourth proportional to 23,405.52, 35,108.31 and 7,823.16 is: 11,734.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,405.52 : 35,108.31 = 7,823.16 : x
  2. Step 2: Convert to fraction form
    23,405.52/35,108.31 = 7,823.16/x
  3. Step 3: Cross multiply
    23,405.52x = 35,108.31 × 7,823.16
  4. Step 4: Simplify right side
    23,405.52x = 274,657,926.46
  5. Step 5: Solve for x
    x = 274,657,926.46/23,405.52
  6. Step 6: Final answer
    x = 11,734.75

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1.5x scale

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.