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Finding the Fourth Proportional to 14,699.16, 22,055.22 and 5,463

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Solution

The fourth proportional to 14,699.16, 22,055.22 and 5,463 is: 8,196.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,699.16 : 22,055.22 = 5,463 : x
  2. Step 2: Convert to fraction form
    14,699.16/22,055.22 = 5,463/x
  3. Step 3: Cross multiply
    14,699.16x = 22,055.22 × 5,463
  4. Step 4: Simplify right side
    14,699.16x = 120,487,666.86
  5. Step 5: Solve for x
    x = 120,487,666.86/14,699.16
  6. Step 6: Final answer
    x = 8,196.91

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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.