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Finding the Fourth Proportional to 21,705.79, 32,558.68 and 10,012.63

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Solution

The fourth proportional to 21,705.79, 32,558.68 and 10,012.63 is: 15,018.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,705.79 : 32,558.68 = 10,012.63 : x
  2. Step 2: Convert to fraction form
    21,705.79/32,558.68 = 10,012.63/x
  3. Step 3: Cross multiply
    21,705.79x = 32,558.68 × 10,012.63
  4. Step 4: Simplify right side
    21,705.79x = 325,998,016.13
  5. Step 5: Solve for x
    x = 325,998,016.13/21,705.79
  6. Step 6: Final answer
    x = 15,018.94

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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.