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Finding the Fourth Proportional to 14,496.71, 19,991.68 and 9,459.32

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Solution

The fourth proportional to 14,496.71, 19,991.68 and 9,459.32 is: 13,044.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,496.71 : 19,991.68 = 9,459.32 : x
  2. Step 2: Convert to fraction form
    14,496.71/19,991.68 = 9,459.32/x
  3. Step 3: Cross multiply
    14,496.71x = 19,991.68 × 9,459.32
  4. Step 4: Simplify right side
    14,496.71x = 189,107,574.85
  5. Step 5: Solve for x
    x = 189,107,574.85/14,496.71
  6. Step 6: Final answer
    x = 13,044.87

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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.