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Finding the Fourth Proportional to 12,852.15, 17,733.27 and 7,543.89

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Solution

The fourth proportional to 12,852.15, 17,733.27 and 7,543.89 is: 10,408.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,852.15 : 17,733.27 = 7,543.89 : x
  2. Step 2: Convert to fraction form
    12,852.15/17,733.27 = 7,543.89/x
  3. Step 3: Cross multiply
    12,852.15x = 17,733.27 × 7,543.89
  4. Step 4: Simplify right side
    12,852.15x = 133,777,838.22
  5. Step 5: Solve for x
    x = 133,777,838.22/12,852.15
  6. Step 6: Final answer
    x = 10,408.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.