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Finding the Fourth Proportional to 23,250.65, 32,031.65 and 16,164.77

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Solution

The fourth proportional to 23,250.65, 32,031.65 and 16,164.77 is: 22,269.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,250.65 : 32,031.65 = 16,164.77 : x
  2. Step 2: Convert to fraction form
    23,250.65/32,031.65 = 16,164.77/x
  3. Step 3: Cross multiply
    23,250.65x = 32,031.65 × 16,164.77
  4. Step 4: Simplify right side
    23,250.65x = 517,784,135.22
  5. Step 5: Solve for x
    x = 517,784,135.22/23,250.65
  6. Step 6: Final answer
    x = 22,269.67

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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.