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Finding the Fourth Proportional to 23,113.35, 31,897.40 and 13,042.22

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Solution

The fourth proportional to 23,113.35, 31,897.40 and 13,042.22 is: 17,998.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,113.35 : 31,897.40 = 13,042.22 : x
  2. Step 2: Convert to fraction form
    23,113.35/31,897.40 = 13,042.22/x
  3. Step 3: Cross multiply
    23,113.35x = 31,897.40 × 13,042.22
  4. Step 4: Simplify right side
    23,113.35x = 416,012,683.53
  5. Step 5: Solve for x
    x = 416,012,683.53/23,113.35
  6. Step 6: Final answer
    x = 17,998.81

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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.