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Finding the Fourth Proportional to 14,281.06, 21,424.82 and 7,707.10

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Solution

The fourth proportional to 14,281.06, 21,424.82 and 7,707.10 is: 11,562.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,281.06 : 21,424.82 = 7,707.10 : x
  2. Step 2: Convert to fraction form
    14,281.06/21,424.82 = 7,707.10/x
  3. Step 3: Cross multiply
    14,281.06x = 21,424.82 × 7,707.10
  4. Step 4: Simplify right side
    14,281.06x = 165,123,230.22
  5. Step 5: Solve for x
    x = 165,123,230.22/14,281.06
  6. Step 6: Final answer
    x = 11,562.39

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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.