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Finding the Fourth Proportional to 12,827.84, 17,705.36 and 7,524.36

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Solution

The fourth proportional to 12,827.84, 17,705.36 and 7,524.36 is: 10,385.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,827.84 : 17,705.36 = 7,524.36 : x
  2. Step 2: Convert to fraction form
    12,827.84/17,705.36 = 7,524.36/x
  3. Step 3: Cross multiply
    12,827.84x = 17,705.36 × 7,524.36
  4. Step 4: Simplify right side
    12,827.84x = 133,221,464.95
  5. Step 5: Solve for x
    x = 133,221,464.95/12,827.84
  6. Step 6: Final answer
    x = 10,385.34

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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.