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Finding the Fourth Proportional to 15,785, 23,677.68 and 4,097.52

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Solution

The fourth proportional to 15,785, 23,677.68 and 4,097.52 is: 6,146.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,785 : 23,677.68 = 4,097.52 : x
  2. Step 2: Convert to fraction form
    15,785/23,677.68 = 4,097.52/x
  3. Step 3: Cross multiply
    15,785x = 23,677.68 × 4,097.52
  4. Step 4: Simplify right side
    15,785x = 97,019,767.35
  5. Step 5: Solve for x
    x = 97,019,767.35/15,785
  6. Step 6: Final answer
    x = 6,146.33

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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.