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Finding the Fourth Proportional to 15,497.82, 23,251.59 and 5,116.86

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Solution

The fourth proportional to 15,497.82, 23,251.59 and 5,116.86 is: 7,676.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,497.82 : 23,251.59 = 5,116.86 : x
  2. Step 2: Convert to fraction form
    15,497.82/23,251.59 = 5,116.86/x
  3. Step 3: Cross multiply
    15,497.82x = 23,251.59 × 5,116.86
  4. Step 4: Simplify right side
    15,497.82x = 118,975,130.81
  5. Step 5: Solve for x
    x = 118,975,130.81/15,497.82
  6. Step 6: Final answer
    x = 7,676.89

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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.