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Finding the Fourth Proportional to 12,806.88, 17,674.90 and 7,430.50

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Solution

The fourth proportional to 12,806.88, 17,674.90 and 7,430.50 is: 10,254.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,806.88 : 17,674.90 = 7,430.50 : x
  2. Step 2: Convert to fraction form
    12,806.88/17,674.90 = 7,430.50/x
  3. Step 3: Cross multiply
    12,806.88x = 17,674.90 × 7,430.50
  4. Step 4: Simplify right side
    12,806.88x = 131,333,344.45
  5. Step 5: Solve for x
    x = 131,333,344.45/12,806.88
  6. Step 6: Final answer
    x = 10,254.91

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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.