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Finding the Fourth Proportional to 12,048.93, 16,637.09 and 8,019.63

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Solution

The fourth proportional to 12,048.93, 16,637.09 and 8,019.63 is: 11,073.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,048.93 : 16,637.09 = 8,019.63 : x
  2. Step 2: Convert to fraction form
    12,048.93/16,637.09 = 8,019.63/x
  3. Step 3: Cross multiply
    12,048.93x = 16,637.09 × 8,019.63
  4. Step 4: Simplify right side
    12,048.93x = 133,423,265.98
  5. Step 5: Solve for x
    x = 133,423,265.98/12,048.93
  6. Step 6: Final answer
    x = 11,073.45

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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.