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Finding the Fourth Proportional to 14,334, 21,506.48 and 5,569.61

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Solution

The fourth proportional to 14,334, 21,506.48 and 5,569.61 is: 8,356.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,334 : 21,506.48 = 5,569.61 : x
  2. Step 2: Convert to fraction form
    14,334/21,506.48 = 5,569.61/x
  3. Step 3: Cross multiply
    14,334x = 21,506.48 × 5,569.61
  4. Step 4: Simplify right side
    14,334x = 119,782,570.69
  5. Step 5: Solve for x
    x = 119,782,570.69/14,334
  6. Step 6: Final answer
    x = 8,356.53

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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.