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Finding the Fourth Proportional to 13,024.56, 19,543.86 and 8,644.08

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Solution

The fourth proportional to 13,024.56, 19,543.86 and 8,644.08 is: 12,970.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,024.56 : 19,543.86 = 8,644.08 : x
  2. Step 2: Convert to fraction form
    13,024.56/19,543.86 = 8,644.08/x
  3. Step 3: Cross multiply
    13,024.56x = 19,543.86 × 8,644.08
  4. Step 4: Simplify right side
    13,024.56x = 168,938,689.35
  5. Step 5: Solve for x
    x = 168,938,689.35/13,024.56
  6. Step 6: Final answer
    x = 12,970.78

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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.