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Finding the Fourth Proportional to 21,457.71, 32,181.65 and 5,876.55

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Solution

The fourth proportional to 21,457.71, 32,181.65 and 5,876.55 is: 8,813.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,457.71 : 32,181.65 = 5,876.55 : x
  2. Step 2: Convert to fraction form
    21,457.71/32,181.65 = 5,876.55/x
  3. Step 3: Cross multiply
    21,457.71x = 32,181.65 × 5,876.55
  4. Step 4: Simplify right side
    21,457.71x = 189,117,045.92
  5. Step 5: Solve for x
    x = 189,117,045.92/21,457.71
  6. Step 6: Final answer
    x = 8,813.48

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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.