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Finding the Fourth Proportional to 23,665, 32,657.70 and 13,730.92

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Solution

The fourth proportional to 23,665, 32,657.70 and 13,730.92 is: 18,948.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,665 : 32,657.70 = 13,730.92 : x
  2. Step 2: Convert to fraction form
    23,665/32,657.70 = 13,730.92/x
  3. Step 3: Cross multiply
    23,665x = 32,657.70 × 13,730.92
  4. Step 4: Simplify right side
    23,665x = 448,420,266.08
  5. Step 5: Solve for x
    x = 448,420,266.08/23,665
  6. Step 6: Final answer
    x = 18,948.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.