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Finding the Fourth Proportional to 13,875.93, 20,820.38 and 8,037.45

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Solution

The fourth proportional to 13,875.93, 20,820.38 and 8,037.45 is: 12,059.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,875.93 : 20,820.38 = 8,037.45 : x
  2. Step 2: Convert to fraction form
    13,875.93/20,820.38 = 8,037.45/x
  3. Step 3: Cross multiply
    13,875.93x = 20,820.38 × 8,037.45
  4. Step 4: Simplify right side
    13,875.93x = 167,342,723.04
  5. Step 5: Solve for x
    x = 167,342,723.04/13,875.93
  6. Step 6: Final answer
    x = 12,059.93

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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.