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Finding the Fourth Proportional to 14,117, 21,167.90 and 4,753.90

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Solution

The fourth proportional to 14,117, 21,167.90 and 4,753.90 is: 7,128.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,117 : 21,167.90 = 4,753.90 : x
  2. Step 2: Convert to fraction form
    14,117/21,167.90 = 4,753.90/x
  3. Step 3: Cross multiply
    14,117x = 21,167.90 × 4,753.90
  4. Step 4: Simplify right side
    14,117x = 100,630,079.81
  5. Step 5: Solve for x
    x = 100,630,079.81/14,117
  6. Step 6: Final answer
    x = 7,128.29

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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.