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Finding the Fourth Proportional to 22,531.71, 31,094.94 and 12,973.05

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Solution

The fourth proportional to 22,531.71, 31,094.94 and 12,973.05 is: 17,903.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,531.71 : 31,094.94 = 12,973.05 : x
  2. Step 2: Convert to fraction form
    22,531.71/31,094.94 = 12,973.05/x
  3. Step 3: Cross multiply
    22,531.71x = 31,094.94 × 12,973.05
  4. Step 4: Simplify right side
    22,531.71x = 403,396,211.37
  5. Step 5: Solve for x
    x = 403,396,211.37/22,531.71
  6. Step 6: Final answer
    x = 17,903.49

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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.