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Finding the Fourth Proportional to 24,810, 37,203.22 and 9,619.66

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Solution

The fourth proportional to 24,810, 37,203.22 and 9,619.66 is: 14,424.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,810 : 37,203.22 = 9,619.66 : x
  2. Step 2: Convert to fraction form
    24,810/37,203.22 = 9,619.66/x
  3. Step 3: Cross multiply
    24,810x = 37,203.22 × 9,619.66
  4. Step 4: Simplify right side
    24,810x = 357,882,327.31
  5. Step 5: Solve for x
    x = 357,882,327.31/24,810
  6. Step 6: Final answer
    x = 14,424.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.