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Finding the Fourth Proportional to 12,605.06, 17,398.19 and 7,569.50

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Solution

The fourth proportional to 12,605.06, 17,398.19 and 7,569.50 is: 10,447.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,605.06 : 17,398.19 = 7,569.50 : x
  2. Step 2: Convert to fraction form
    12,605.06/17,398.19 = 7,569.50/x
  3. Step 3: Cross multiply
    12,605.06x = 17,398.19 × 7,569.50
  4. Step 4: Simplify right side
    12,605.06x = 131,695,599.21
  5. Step 5: Solve for x
    x = 131,695,599.21/12,605.06
  6. Step 6: Final answer
    x = 10,447.84

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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.