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Finding the Fourth Proportional to 17,538.68, 26,290.70 and 7,002.35

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Solution

The fourth proportional to 17,538.68, 26,290.70 and 7,002.35 is: 10,496.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,538.68 : 26,290.70 = 7,002.35 : x
  2. Step 2: Convert to fraction form
    17,538.68/26,290.70 = 7,002.35/x
  3. Step 3: Cross multiply
    17,538.68x = 26,290.70 × 7,002.35
  4. Step 4: Simplify right side
    17,538.68x = 184,096,582.41
  5. Step 5: Solve for x
    x = 184,096,582.41/17,538.68
  6. Step 6: Final answer
    x = 10,496.61

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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.