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Finding the Fourth Proportional to 14,322.26, 19,764.65 and 7,948.68

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Solution

The fourth proportional to 14,322.26, 19,764.65 and 7,948.68 is: 10,969.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,322.26 : 19,764.65 = 7,948.68 : x
  2. Step 2: Convert to fraction form
    14,322.26/19,764.65 = 7,948.68/x
  3. Step 3: Cross multiply
    14,322.26x = 19,764.65 × 7,948.68
  4. Step 4: Simplify right side
    14,322.26x = 157,102,838.42
  5. Step 5: Solve for x
    x = 157,102,838.42/14,322.26
  6. Step 6: Final answer
    x = 10,969.14

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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.