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Finding the Fourth Proportional to 24,649.16, 36,969.64 and 7,114.28

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Solution

The fourth proportional to 24,649.16, 36,969.64 and 7,114.28 is: 10,670.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,649.16 : 36,969.64 = 7,114.28 : x
  2. Step 2: Convert to fraction form
    24,649.16/36,969.64 = 7,114.28/x
  3. Step 3: Cross multiply
    24,649.16x = 36,969.64 × 7,114.28
  4. Step 4: Simplify right side
    24,649.16x = 263,012,370.46
  5. Step 5: Solve for x
    x = 263,012,370.46/24,649.16
  6. Step 6: Final answer
    x = 10,670.24

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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.