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Finding the Fourth Proportional to 17,725.10, 24,459.17 and 9,767.05

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Solution

The fourth proportional to 17,725.10, 24,459.17 and 9,767.05 is: 13,477.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,725.10 : 24,459.17 = 9,767.05 : x
  2. Step 2: Convert to fraction form
    17,725.10/24,459.17 = 9,767.05/x
  3. Step 3: Cross multiply
    17,725.10x = 24,459.17 × 9,767.05
  4. Step 4: Simplify right side
    17,725.10x = 238,893,826.37
  5. Step 5: Solve for x
    x = 238,893,826.37/17,725.10
  6. Step 6: Final answer
    x = 13,477.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.