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Finding the Fourth Proportional to 14,233.55, 19,648.95 and 8,264.05

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Solution

The fourth proportional to 14,233.55, 19,648.95 and 8,264.05 is: 11,408.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,233.55 : 19,648.95 = 8,264.05 : x
  2. Step 2: Convert to fraction form
    14,233.55/19,648.95 = 8,264.05/x
  3. Step 3: Cross multiply
    14,233.55x = 19,648.95 × 8,264.05
  4. Step 4: Simplify right side
    14,233.55x = 162,379,825.13
  5. Step 5: Solve for x
    x = 162,379,825.13/14,233.55
  6. Step 6: Final answer
    x = 11,408.25

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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.