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Finding the Fourth Proportional to 14,784.45, 20,402.17 and 8,070.22

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Solution

The fourth proportional to 14,784.45, 20,402.17 and 8,070.22 is: 11,136.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,784.45 : 20,402.17 = 8,070.22 : x
  2. Step 2: Convert to fraction form
    14,784.45/20,402.17 = 8,070.22/x
  3. Step 3: Cross multiply
    14,784.45x = 20,402.17 × 8,070.22
  4. Step 4: Simplify right side
    14,784.45x = 164,650,000.38
  5. Step 5: Solve for x
    x = 164,650,000.38/14,784.45
  6. Step 6: Final answer
    x = 11,136.70

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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.