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Finding the Fourth Proportional to 23,464.31, 35,199.39 and 7,670.93

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Solution

The fourth proportional to 23,464.31, 35,199.39 and 7,670.93 is: 11,507.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,464.31 : 35,199.39 = 7,670.93 : x
  2. Step 2: Convert to fraction form
    23,464.31/35,199.39 = 7,670.93/x
  3. Step 3: Cross multiply
    23,464.31x = 35,199.39 × 7,670.93
  4. Step 4: Simplify right side
    23,464.31x = 270,011,909.50
  5. Step 5: Solve for x
    x = 270,011,909.50/23,464.31
  6. Step 6: Final answer
    x = 11,507.35

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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.