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Finding the Fourth Proportional to 15,649.71, 23,478.66 and 4,556.15

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Solution

The fourth proportional to 15,649.71, 23,478.66 and 4,556.15 is: 6,835.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,649.71 : 23,478.66 = 4,556.15 : x
  2. Step 2: Convert to fraction form
    15,649.71/23,478.66 = 4,556.15/x
  3. Step 3: Cross multiply
    15,649.71x = 23,478.66 × 4,556.15
  4. Step 4: Simplify right side
    15,649.71x = 106,972,267.41
  5. Step 5: Solve for x
    x = 106,972,267.41/15,649.71
  6. Step 6: Final answer
    x = 6,835.42

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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.