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Finding the Fourth Proportional to 21,653.83, 32,477.86 and 6,864.24

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Solution

The fourth proportional to 21,653.83, 32,477.86 and 6,864.24 is: 10,295.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,653.83 : 32,477.86 = 6,864.24 : x
  2. Step 2: Convert to fraction form
    21,653.83/32,477.86 = 6,864.24/x
  3. Step 3: Cross multiply
    21,653.83x = 32,477.86 × 6,864.24
  4. Step 4: Simplify right side
    21,653.83x = 222,935,956.10
  5. Step 5: Solve for x
    x = 222,935,956.10/21,653.83
  6. Step 6: Final answer
    x = 10,295.45

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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.