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Finding the Fourth Proportional to 12,353.72, 18,532.35 and 4,031.67

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Solution

The fourth proportional to 12,353.72, 18,532.35 and 4,031.67 is: 6,048.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,353.72 : 18,532.35 = 4,031.67 : x
  2. Step 2: Convert to fraction form
    12,353.72/18,532.35 = 4,031.67/x
  3. Step 3: Cross multiply
    12,353.72x = 18,532.35 × 4,031.67
  4. Step 4: Simplify right side
    12,353.72x = 74,716,319.52
  5. Step 5: Solve for x
    x = 74,716,319.52/12,353.72
  6. Step 6: Final answer
    x = 6,048.08

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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.