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Finding the Fourth Proportional to 15,649.61, 23,477.46 and 6,884.49

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Solution

The fourth proportional to 15,649.61, 23,477.46 and 6,884.49 is: 10,328.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,649.61 : 23,477.46 = 6,884.49 : x
  2. Step 2: Convert to fraction form
    15,649.61/23,477.46 = 6,884.49/x
  3. Step 3: Cross multiply
    15,649.61x = 23,477.46 × 6,884.49
  4. Step 4: Simplify right side
    15,649.61x = 161,630,338.60
  5. Step 5: Solve for x
    x = 161,630,338.60/15,649.61
  6. Step 6: Final answer
    x = 10,328.08

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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.