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Finding the Fourth Proportional to 13,807.77, 19,049.04 and 9,618.45

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Solution

The fourth proportional to 13,807.77, 19,049.04 and 9,618.45 is: 13,269.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,807.77 : 19,049.04 = 9,618.45 : x
  2. Step 2: Convert to fraction form
    13,807.77/19,049.04 = 9,618.45/x
  3. Step 3: Cross multiply
    13,807.77x = 19,049.04 × 9,618.45
  4. Step 4: Simplify right side
    13,807.77x = 183,222,238.79
  5. Step 5: Solve for x
    x = 183,222,238.79/13,807.77
  6. Step 6: Final answer
    x = 13,269.50

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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.