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Finding the Fourth Proportional to 15,813.96, 21,823.38 and 8,740.59

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Solution

The fourth proportional to 15,813.96, 21,823.38 and 8,740.59 is: 12,062.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,813.96 : 21,823.38 = 8,740.59 : x
  2. Step 2: Convert to fraction form
    15,813.96/21,823.38 = 8,740.59/x
  3. Step 3: Cross multiply
    15,813.96x = 21,823.38 × 8,740.59
  4. Step 4: Simplify right side
    15,813.96x = 190,749,216.99
  5. Step 5: Solve for x
    x = 190,749,216.99/15,813.96
  6. Step 6: Final answer
    x = 12,062.08

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Why These Related Problems?

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