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Finding the Fourth Proportional to 15,477.38, 21,358.80 and 8,403.80

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Solution

The fourth proportional to 15,477.38, 21,358.80 and 8,403.80 is: 11,597.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,477.38 : 21,358.80 = 8,403.80 : x
  2. Step 2: Convert to fraction form
    15,477.38/21,358.80 = 8,403.80/x
  3. Step 3: Cross multiply
    15,477.38x = 21,358.80 × 8,403.80
  4. Step 4: Simplify right side
    15,477.38x = 179,495,083.44
  5. Step 5: Solve for x
    x = 179,495,083.44/15,477.38
  6. Step 6: Final answer
    x = 11,597.25

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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.