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Finding the Fourth Proportional to 21,378, 32,066.99 and 5,795.62

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Solution

The fourth proportional to 21,378, 32,066.99 and 5,795.62 is: 8,693.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,378 : 32,066.99 = 5,795.62 : x
  2. Step 2: Convert to fraction form
    21,378/32,066.99 = 5,795.62/x
  3. Step 3: Cross multiply
    21,378x = 32,066.99 × 5,795.62
  4. Step 4: Simplify right side
    21,378x = 185,848,088.58
  5. Step 5: Solve for x
    x = 185,848,088.58/21,378
  6. Step 6: Final answer
    x = 8,693.43

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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.