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Finding the Fourth Proportional to 14,005.81, 19,343.57 and 9,521.78

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Solution

The fourth proportional to 14,005.81, 19,343.57 and 9,521.78 is: 13,150.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,005.81 : 19,343.57 = 9,521.78 : x
  2. Step 2: Convert to fraction form
    14,005.81/19,343.57 = 9,521.78/x
  3. Step 3: Cross multiply
    14,005.81x = 19,343.57 × 9,521.78
  4. Step 4: Simplify right side
    14,005.81x = 184,185,217.95
  5. Step 5: Solve for x
    x = 184,185,217.95/14,005.81
  6. Step 6: Final answer
    x = 13,150.63

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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.