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Finding the Fourth Proportional to 15,461.86, 23,171.82 and 7,123.54

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Solution

The fourth proportional to 15,461.86, 23,171.82 and 7,123.54 is: 10,675.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,461.86 : 23,171.82 = 7,123.54 : x
  2. Step 2: Convert to fraction form
    15,461.86/23,171.82 = 7,123.54/x
  3. Step 3: Cross multiply
    15,461.86x = 23,171.82 × 7,123.54
  4. Step 4: Simplify right side
    15,461.86x = 165,065,386.64
  5. Step 5: Solve for x
    x = 165,065,386.64/15,461.86
  6. Step 6: Final answer
    x = 10,675.65

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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.