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Finding the Fourth Proportional to 14,893.96, 22,335.66 and 4,361

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Solution

The fourth proportional to 14,893.96, 22,335.66 and 4,361 is: 6,539.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,893.96 : 22,335.66 = 4,361 : x
  2. Step 2: Convert to fraction form
    14,893.96/22,335.66 = 4,361/x
  3. Step 3: Cross multiply
    14,893.96x = 22,335.66 × 4,361
  4. Step 4: Simplify right side
    14,893.96x = 97,405,813.26
  5. Step 5: Solve for x
    x = 97,405,813.26/14,893.96
  6. Step 6: Final answer
    x = 6,539.95

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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.