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Finding the Fourth Proportional to 13,756.64, 20,641.23 and 8,499.74

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Solution

The fourth proportional to 13,756.64, 20,641.23 and 8,499.74 is: 12,753.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,756.64 : 20,641.23 = 8,499.74 : x
  2. Step 2: Convert to fraction form
    13,756.64/20,641.23 = 8,499.74/x
  3. Step 3: Cross multiply
    13,756.64x = 20,641.23 × 8,499.74
  4. Step 4: Simplify right side
    13,756.64x = 175,444,985.07
  5. Step 5: Solve for x
    x = 175,444,985.07/13,756.64
  6. Step 6: Final answer
    x = 12,753.48

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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.