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Finding the Fourth Proportional to 13,627.34, 18,803.53 and 7,658.99

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Solution

The fourth proportional to 13,627.34, 18,803.53 and 7,658.99 is: 10,568.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,627.34 : 18,803.53 = 7,658.99 : x
  2. Step 2: Convert to fraction form
    13,627.34/18,803.53 = 7,658.99/x
  3. Step 3: Cross multiply
    13,627.34x = 18,803.53 × 7,658.99
  4. Step 4: Simplify right side
    13,627.34x = 144,016,048.23
  5. Step 5: Solve for x
    x = 144,016,048.23/13,627.34
  6. Step 6: Final answer
    x = 10,568.17

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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.