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Finding the Fourth Proportional to 21,188.41, 31,792.98 and 8,537.64

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Solution

The fourth proportional to 21,188.41, 31,792.98 and 8,537.64 is: 12,810.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,188.41 : 31,792.98 = 8,537.64 : x
  2. Step 2: Convert to fraction form
    21,188.41/31,792.98 = 8,537.64/x
  3. Step 3: Cross multiply
    21,188.41x = 31,792.98 × 8,537.64
  4. Step 4: Simplify right side
    21,188.41x = 271,437,017.77
  5. Step 5: Solve for x
    x = 271,437,017.77/21,188.41
  6. Step 6: Final answer
    x = 12,810.64

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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.