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Finding the Fourth Proportional to 13,024.58, 19,537.47 and 3,790.58

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Solution

The fourth proportional to 13,024.58, 19,537.47 and 3,790.58 is: 5,686.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,024.58 : 19,537.47 = 3,790.58 : x
  2. Step 2: Convert to fraction form
    13,024.58/19,537.47 = 3,790.58/x
  3. Step 3: Cross multiply
    13,024.58x = 19,537.47 × 3,790.58
  4. Step 4: Simplify right side
    13,024.58x = 74,058,343.03
  5. Step 5: Solve for x
    x = 74,058,343.03/13,024.58
  6. Step 6: Final answer
    x = 5,686.04

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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.