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Finding the Fourth Proportional to 14,774.48, 22,155.24 and 5,534

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Solution

The fourth proportional to 14,774.48, 22,155.24 and 5,534 is: 8,298.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,774.48 : 22,155.24 = 5,534 : x
  2. Step 2: Convert to fraction form
    14,774.48/22,155.24 = 5,534/x
  3. Step 3: Cross multiply
    14,774.48x = 22,155.24 × 5,534
  4. Step 4: Simplify right side
    14,774.48x = 122,607,098.16
  5. Step 5: Solve for x
    x = 122,607,098.16/14,774.48
  6. Step 6: Final answer
    x = 8,298.57

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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.