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Finding the Fourth Proportional to 21,614.51, 32,412.58 and 8,464.79

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Solution

The fourth proportional to 21,614.51, 32,412.58 and 8,464.79 is: 12,693.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,614.51 : 32,412.58 = 8,464.79 : x
  2. Step 2: Convert to fraction form
    21,614.51/32,412.58 = 8,464.79/x
  3. Step 3: Cross multiply
    21,614.51x = 32,412.58 × 8,464.79
  4. Step 4: Simplify right side
    21,614.51x = 274,365,478.67
  5. Step 5: Solve for x
    x = 274,365,478.67/21,614.51
  6. Step 6: Final answer
    x = 12,693.58

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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.