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Finding the Fourth Proportional to 13,154.63, 18,153.81 and 7,565.63

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Solution

The fourth proportional to 13,154.63, 18,153.81 and 7,565.63 is: 10,440.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,154.63 : 18,153.81 = 7,565.63 : x
  2. Step 2: Convert to fraction form
    13,154.63/18,153.81 = 7,565.63/x
  3. Step 3: Cross multiply
    13,154.63x = 18,153.81 × 7,565.63
  4. Step 4: Simplify right side
    13,154.63x = 137,344,918.78
  5. Step 5: Solve for x
    x = 137,344,918.78/13,154.63
  6. Step 6: Final answer
    x = 10,440.81

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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.