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Finding the Fourth Proportional to 13,648.37, 18,834.53 and 7,680.04

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Solution

The fourth proportional to 13,648.37, 18,834.53 and 7,680.04 is: 10,598.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,648.37 : 18,834.53 = 7,680.04 : x
  2. Step 2: Convert to fraction form
    13,648.37/18,834.53 = 7,680.04/x
  3. Step 3: Cross multiply
    13,648.37x = 18,834.53 × 7,680.04
  4. Step 4: Simplify right side
    13,648.37x = 144,649,849.61
  5. Step 5: Solve for x
    x = 144,649,849.61/13,648.37
  6. Step 6: Final answer
    x = 10,598.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.