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Finding the Fourth Proportional to 23,050.68, 31,807.91 and 12,840.96

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Solution

The fourth proportional to 23,050.68, 31,807.91 and 12,840.96 is: 17,719.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,050.68 : 31,807.91 = 12,840.96 : x
  2. Step 2: Convert to fraction form
    23,050.68/31,807.91 = 12,840.96/x
  3. Step 3: Cross multiply
    23,050.68x = 31,807.91 × 12,840.96
  4. Step 4: Simplify right side
    23,050.68x = 408,443,973.06
  5. Step 5: Solve for x
    x = 408,443,973.06/23,050.68
  6. Step 6: Final answer
    x = 17,719.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.