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Finding the Fourth Proportional to 23,206.59, 34,731.03 and 14,327.57

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Solution

The fourth proportional to 23,206.59, 34,731.03 and 14,327.57 is: 21,442.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,206.59 : 34,731.03 = 14,327.57 : x
  2. Step 2: Convert to fraction form
    23,206.59/34,731.03 = 14,327.57/x
  3. Step 3: Cross multiply
    23,206.59x = 34,731.03 × 14,327.57
  4. Step 4: Simplify right side
    23,206.59x = 497,611,263.50
  5. Step 5: Solve for x
    x = 497,611,263.50/23,206.59
  6. Step 6: Final answer
    x = 21,442.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.