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Finding the Fourth Proportional to 13,656.84, 18,843.75 and 7,688.76

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Solution

The fourth proportional to 13,656.84, 18,843.75 and 7,688.76 is: 10,608.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,656.84 : 18,843.75 = 7,688.76 : x
  2. Step 2: Convert to fraction form
    13,656.84/18,843.75 = 7,688.76/x
  3. Step 3: Cross multiply
    13,656.84x = 18,843.75 × 7,688.76
  4. Step 4: Simplify right side
    13,656.84x = 144,885,071.25
  5. Step 5: Solve for x
    x = 144,885,071.25/13,656.84
  6. Step 6: Final answer
    x = 10,608.97

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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.