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Finding the Fourth Proportional to 17,657.19, 26,461.49 and 6,553.04

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Solution

The fourth proportional to 17,657.19, 26,461.49 and 6,553.04 is: 9,820.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,657.19 : 26,461.49 = 6,553.04 : x
  2. Step 2: Convert to fraction form
    17,657.19/26,461.49 = 6,553.04/x
  3. Step 3: Cross multiply
    17,657.19x = 26,461.49 × 6,553.04
  4. Step 4: Simplify right side
    17,657.19x = 173,403,037.36
  5. Step 5: Solve for x
    x = 173,403,037.36/17,657.19
  6. Step 6: Final answer
    x = 9,820.53

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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.