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Finding the Fourth Proportional to 21,242.50, 31,860.16 and 6,447.86

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Solution

The fourth proportional to 21,242.50, 31,860.16 and 6,447.86 is: 9,670.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,242.50 : 31,860.16 = 6,447.86 : x
  2. Step 2: Convert to fraction form
    21,242.50/31,860.16 = 6,447.86/x
  3. Step 3: Cross multiply
    21,242.50x = 31,860.16 × 6,447.86
  4. Step 4: Simplify right side
    21,242.50x = 205,429,851.26
  5. Step 5: Solve for x
    x = 205,429,851.26/21,242.50
  6. Step 6: Final answer
    x = 9,670.70

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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.