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Finding the Fourth Proportional to 13,656.71, 18,846.15 and 7,688.23

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Solution

The fourth proportional to 13,656.71, 18,846.15 and 7,688.23 is: 10,609.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,656.71 : 18,846.15 = 7,688.23 : x
  2. Step 2: Convert to fraction form
    13,656.71/18,846.15 = 7,688.23/x
  3. Step 3: Cross multiply
    13,656.71x = 18,846.15 × 7,688.23
  4. Step 4: Simplify right side
    13,656.71x = 144,893,535.81
  5. Step 5: Solve for x
    x = 144,893,535.81/13,656.71
  6. Step 6: Final answer
    x = 10,609.70

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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.