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Finding the Fourth Proportional to 13,656.80, 18,846.98 and 7,688.86

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Solution

The fourth proportional to 13,656.80, 18,846.98 and 7,688.86 is: 10,610.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,656.80 : 18,846.98 = 7,688.86 : x
  2. Step 2: Convert to fraction form
    13,656.80/18,846.98 = 7,688.86/x
  3. Step 3: Cross multiply
    13,656.80x = 18,846.98 × 7,688.86
  4. Step 4: Simplify right side
    13,656.80x = 144,911,733.91
  5. Step 5: Solve for x
    x = 144,911,733.91/13,656.80
  6. Step 6: Final answer
    x = 10,610.96

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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.