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Finding the Fourth Proportional to 13,649.70, 20,460.58 and 7,718.07

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Solution

The fourth proportional to 13,649.70, 20,460.58 and 7,718.07 is: 11,569.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,649.70 : 20,460.58 = 7,718.07 : x
  2. Step 2: Convert to fraction form
    13,649.70/20,460.58 = 7,718.07/x
  3. Step 3: Cross multiply
    13,649.70x = 20,460.58 × 7,718.07
  4. Step 4: Simplify right side
    13,649.70x = 157,916,289.53
  5. Step 5: Solve for x
    x = 157,916,289.53/13,649.70
  6. Step 6: Final answer
    x = 11,569.21

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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.