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Finding the Fourth Proportional to 23,232.69, 34,840.80 and 8,437.77

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Solution

The fourth proportional to 23,232.69, 34,840.80 and 8,437.77 is: 12,653.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,232.69 : 34,840.80 = 8,437.77 : x
  2. Step 2: Convert to fraction form
    23,232.69/34,840.80 = 8,437.77/x
  3. Step 3: Cross multiply
    23,232.69x = 34,840.80 × 8,437.77
  4. Step 4: Simplify right side
    23,232.69x = 293,978,657.02
  5. Step 5: Solve for x
    x = 293,978,657.02/23,232.69
  6. Step 6: Final answer
    x = 12,653.66

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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.