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Finding the Fourth Proportional to 17,705.12, 26,558 and 4,557.76

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Solution

The fourth proportional to 17,705.12, 26,558 and 4,557.76 is: 6,836.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,705.12 : 26,558 = 4,557.76 : x
  2. Step 2: Convert to fraction form
    17,705.12/26,558 = 4,557.76/x
  3. Step 3: Cross multiply
    17,705.12x = 26,558 × 4,557.76
  4. Step 4: Simplify right side
    17,705.12x = 121,044,990.08
  5. Step 5: Solve for x
    x = 121,044,990.08/17,705.12
  6. Step 6: Final answer
    x = 6,836.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.