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Finding the Fourth Proportional to 12,566.84, 17,341.54 and 6,902.33

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Solution

The fourth proportional to 12,566.84, 17,341.54 and 6,902.33 is: 9,524.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,566.84 : 17,341.54 = 6,902.33 : x
  2. Step 2: Convert to fraction form
    12,566.84/17,341.54 = 6,902.33/x
  3. Step 3: Cross multiply
    12,566.84x = 17,341.54 × 6,902.33
  4. Step 4: Simplify right side
    12,566.84x = 119,696,953.71
  5. Step 5: Solve for x
    x = 119,696,953.71/12,566.84
  6. Step 6: Final answer
    x = 9,524.83

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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.