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Finding the Fourth Proportional to 23,281.94, 32,127.64 and 13,072.22

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Solution

The fourth proportional to 23,281.94, 32,127.64 and 13,072.22 is: 18,038.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,281.94 : 32,127.64 = 13,072.22 : x
  2. Step 2: Convert to fraction form
    23,281.94/32,127.64 = 13,072.22/x
  3. Step 3: Cross multiply
    23,281.94x = 32,127.64 × 13,072.22
  4. Step 4: Simplify right side
    23,281.94x = 419,979,578.16
  5. Step 5: Solve for x
    x = 419,979,578.16/23,281.94
  6. Step 6: Final answer
    x = 18,038.86

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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.