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Finding the Fourth Proportional to 13,024.40, 19,537.96 and 3,790.40

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Solution

The fourth proportional to 13,024.40, 19,537.96 and 3,790.40 is: 5,686.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,024.40 : 19,537.96 = 3,790.40 : x
  2. Step 2: Convert to fraction form
    13,024.40/19,537.96 = 3,790.40/x
  3. Step 3: Cross multiply
    13,024.40x = 19,537.96 × 3,790.40
  4. Step 4: Simplify right side
    13,024.40x = 74,056,683.58
  5. Step 5: Solve for x
    x = 74,056,683.58/13,024.40
  6. Step 6: Final answer
    x = 5,686.00

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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.