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Finding the Fourth Proportional to 14,533.83, 20,056.87 and 8,161.81

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Solution

The fourth proportional to 14,533.83, 20,056.87 and 8,161.81 is: 11,263.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,533.83 : 20,056.87 = 8,161.81 : x
  2. Step 2: Convert to fraction form
    14,533.83/20,056.87 = 8,161.81/x
  3. Step 3: Cross multiply
    14,533.83x = 20,056.87 × 8,161.81
  4. Step 4: Simplify right side
    14,533.83x = 163,700,389.10
  5. Step 5: Solve for x
    x = 163,700,389.10/14,533.83
  6. Step 6: Final answer
    x = 11,263.40

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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.