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Finding the Fourth Proportional to 23,421.59, 32,322.05 and 12,811

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Solution

The fourth proportional to 23,421.59, 32,322.05 and 12,811 is: 17,679.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,421.59 : 32,322.05 = 12,811 : x
  2. Step 2: Convert to fraction form
    23,421.59/32,322.05 = 12,811/x
  3. Step 3: Cross multiply
    23,421.59x = 32,322.05 × 12,811
  4. Step 4: Simplify right side
    23,421.59x = 414,077,782.55
  5. Step 5: Solve for x
    x = 414,077,782.55/23,421.59
  6. Step 6: Final answer
    x = 17,679.32

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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.