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Finding the Fourth Proportional to 23,562.34, 35,324.31 and 13,031.93

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Solution

The fourth proportional to 23,562.34, 35,324.31 and 13,031.93 is: 19,537.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,562.34 : 35,324.31 = 13,031.93 : x
  2. Step 2: Convert to fraction form
    23,562.34/35,324.31 = 13,031.93/x
  3. Step 3: Cross multiply
    23,562.34x = 35,324.31 × 13,031.93
  4. Step 4: Simplify right side
    23,562.34x = 460,343,935.22
  5. Step 5: Solve for x
    x = 460,343,935.22/23,562.34
  6. Step 6: Final answer
    x = 19,537.28

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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.