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Finding the Fourth Proportional to 14,488.32, 21,716.80 and 7,097.76

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Solution

The fourth proportional to 14,488.32, 21,716.80 and 7,097.76 is: 10,638.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,488.32 : 21,716.80 = 7,097.76 : x
  2. Step 2: Convert to fraction form
    14,488.32/21,716.80 = 7,097.76/x
  3. Step 3: Cross multiply
    14,488.32x = 21,716.80 × 7,097.76
  4. Step 4: Simplify right side
    14,488.32x = 154,140,634.37
  5. Step 5: Solve for x
    x = 154,140,634.37/14,488.32
  6. Step 6: Final answer
    x = 10,638.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.