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Finding the Fourth Proportional to 12,409.89, 17,125.63 and 7,104.70

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Solution

The fourth proportional to 12,409.89, 17,125.63 and 7,104.70 is: 9,804.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409.89 : 17,125.63 = 7,104.70 : x
  2. Step 2: Convert to fraction form
    12,409.89/17,125.63 = 7,104.70/x
  3. Step 3: Cross multiply
    12,409.89x = 17,125.63 × 7,104.70
  4. Step 4: Simplify right side
    12,409.89x = 121,672,463.46
  5. Step 5: Solve for x
    x = 121,672,463.46/12,409.89
  6. Step 6: Final answer
    x = 9,804.48

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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.