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Finding the Fourth Proportional to 23,373, 35,051.16 and 7,574.22

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Solution

The fourth proportional to 23,373, 35,051.16 and 7,574.22 is: 11,358.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,373 : 35,051.16 = 7,574.22 : x
  2. Step 2: Convert to fraction form
    23,373/35,051.16 = 7,574.22/x
  3. Step 3: Cross multiply
    23,373x = 35,051.16 × 7,574.22
  4. Step 4: Simplify right side
    23,373x = 265,485,197.10
  5. Step 5: Solve for x
    x = 265,485,197.10/23,373
  6. Step 6: Final answer
    x = 11,358.63

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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.