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Finding the Fourth Proportional to 21,194.55, 31,792.07 and 6,403.59

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Solution

The fourth proportional to 21,194.55, 31,792.07 and 6,403.59 is: 9,605.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,194.55 : 31,792.07 = 6,403.59 : x
  2. Step 2: Convert to fraction form
    21,194.55/31,792.07 = 6,403.59/x
  3. Step 3: Cross multiply
    21,194.55x = 31,792.07 × 6,403.59
  4. Step 4: Simplify right side
    21,194.55x = 203,583,349.51
  5. Step 5: Solve for x
    x = 203,583,349.51/21,194.55
  6. Step 6: Final answer
    x = 9,605.46

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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.