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Finding the Fourth Proportional to 13,873.81, 19,145.82 and 7,905.49

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Solution

The fourth proportional to 13,873.81, 19,145.82 and 7,905.49 is: 10,909.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,873.81 : 19,145.82 = 7,905.49 : x
  2. Step 2: Convert to fraction form
    13,873.81/19,145.82 = 7,905.49/x
  3. Step 3: Cross multiply
    13,873.81x = 19,145.82 × 7,905.49
  4. Step 4: Simplify right side
    13,873.81x = 151,357,088.55
  5. Step 5: Solve for x
    x = 151,357,088.55/13,873.81
  6. Step 6: Final answer
    x = 10,909.55

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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.