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Finding the Fourth Proportional to 14,442.35, 21,628.89 and 7,852.19

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Solution

The fourth proportional to 14,442.35, 21,628.89 and 7,852.19 is: 11,759.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,442.35 : 21,628.89 = 7,852.19 : x
  2. Step 2: Convert to fraction form
    14,442.35/21,628.89 = 7,852.19/x
  3. Step 3: Cross multiply
    14,442.35x = 21,628.89 × 7,852.19
  4. Step 4: Simplify right side
    14,442.35x = 169,834,045.62
  5. Step 5: Solve for x
    x = 169,834,045.62/14,442.35
  6. Step 6: Final answer
    x = 11,759.45

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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.