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Finding the Fourth Proportional to 15,813.58, 21,822.77 and 8,740

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Solution

The fourth proportional to 15,813.58, 21,822.77 and 8,740 is: 12,061.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,813.58 : 21,822.77 = 8,740 : x
  2. Step 2: Convert to fraction form
    15,813.58/21,822.77 = 8,740/x
  3. Step 3: Cross multiply
    15,813.58x = 21,822.77 × 8,740
  4. Step 4: Simplify right side
    15,813.58x = 190,731,009.80
  5. Step 5: Solve for x
    x = 190,731,009.80/15,813.58
  6. Step 6: Final answer
    x = 12,061.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.