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Finding the Fourth Proportional to 13,657.86, 20,486.70 and 7,810.32

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Solution

The fourth proportional to 13,657.86, 20,486.70 and 7,810.32 is: 11,715.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,657.86 : 20,486.70 = 7,810.32 : x
  2. Step 2: Convert to fraction form
    13,657.86/20,486.70 = 7,810.32/x
  3. Step 3: Cross multiply
    13,657.86x = 20,486.70 × 7,810.32
  4. Step 4: Simplify right side
    13,657.86x = 160,007,682.74
  5. Step 5: Solve for x
    x = 160,007,682.74/13,657.86
  6. Step 6: Final answer
    x = 11,715.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.