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Finding the Fourth Proportional to 13,596, 18,753.54 and 9,812.76

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Solution

The fourth proportional to 13,596, 18,753.54 and 9,812.76 is: 13,535.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,596 : 18,753.54 = 9,812.76 : x
  2. Step 2: Convert to fraction form
    13,596/18,753.54 = 9,812.76/x
  3. Step 3: Cross multiply
    13,596x = 18,753.54 × 9,812.76
  4. Step 4: Simplify right side
    13,596x = 184,023,987.17
  5. Step 5: Solve for x
    x = 184,023,987.17/13,596
  6. Step 6: Final answer
    x = 13,535.16

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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.