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Finding the Fourth Proportional to 14,630, 21,945.18 and 5,396

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Solution

The fourth proportional to 14,630, 21,945.18 and 5,396 is: 8,094.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,630 : 21,945.18 = 5,396 : x
  2. Step 2: Convert to fraction form
    14,630/21,945.18 = 5,396/x
  3. Step 3: Cross multiply
    14,630x = 21,945.18 × 5,396
  4. Step 4: Simplify right side
    14,630x = 118,416,191.28
  5. Step 5: Solve for x
    x = 118,416,191.28/14,630
  6. Step 6: Final answer
    x = 8,094.07

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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.