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Finding the Fourth Proportional to 23,357.80, 35,010.64 and 9,314.14

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Solution

The fourth proportional to 23,357.80, 35,010.64 and 9,314.14 is: 13,960.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,357.80 : 35,010.64 = 9,314.14 : x
  2. Step 2: Convert to fraction form
    23,357.80/35,010.64 = 9,314.14/x
  3. Step 3: Cross multiply
    23,357.80x = 35,010.64 × 9,314.14
  4. Step 4: Simplify right side
    23,357.80x = 326,094,002.45
  5. Step 5: Solve for x
    x = 326,094,002.45/23,357.80
  6. Step 6: Final answer
    x = 13,960.82

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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.