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Finding the Fourth Proportional to 23,357.16, 35,041.74 and 6,718.49

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Solution

The fourth proportional to 23,357.16, 35,041.74 and 6,718.49 is: 10,079.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,357.16 : 35,041.74 = 6,718.49 : x
  2. Step 2: Convert to fraction form
    23,357.16/35,041.74 = 6,718.49/x
  3. Step 3: Cross multiply
    23,357.16x = 35,041.74 × 6,718.49
  4. Step 4: Simplify right side
    23,357.16x = 235,427,633.78
  5. Step 5: Solve for x
    x = 235,427,633.78/23,357.16
  6. Step 6: Final answer
    x = 10,079.46

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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.