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Finding the Fourth Proportional to 14,130.24, 19,503.54 and 8,821.86

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Solution

The fourth proportional to 14,130.24, 19,503.54 and 8,821.86 is: 12,176.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,130.24 : 19,503.54 = 8,821.86 : x
  2. Step 2: Convert to fraction form
    14,130.24/19,503.54 = 8,821.86/x
  3. Step 3: Cross multiply
    14,130.24x = 19,503.54 × 8,821.86
  4. Step 4: Simplify right side
    14,130.24x = 172,057,499.38
  5. Step 5: Solve for x
    x = 172,057,499.38/14,130.24
  6. Step 6: Final answer
    x = 12,176.54

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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.