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Finding the Fourth Proportional to 14,134.70, 19,507.44 and 8,085.51

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Solution

The fourth proportional to 14,134.70, 19,507.44 and 8,085.51 is: 11,158.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,134.70 : 19,507.44 = 8,085.51 : x
  2. Step 2: Convert to fraction form
    14,134.70/19,507.44 = 8,085.51/x
  3. Step 3: Cross multiply
    14,134.70x = 19,507.44 × 8,085.51
  4. Step 4: Simplify right side
    14,134.70x = 157,727,463.23
  5. Step 5: Solve for x
    x = 157,727,463.23/14,134.70
  6. Step 6: Final answer
    x = 11,158.88

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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.