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Finding the Fourth Proportional to 15,509.37, 21,402.82 and 8,435.80

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Solution

The fourth proportional to 15,509.37, 21,402.82 and 8,435.80 is: 11,641.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,509.37 : 21,402.82 = 8,435.80 : x
  2. Step 2: Convert to fraction form
    15,509.37/21,402.82 = 8,435.80/x
  3. Step 3: Cross multiply
    15,509.37x = 21,402.82 × 8,435.80
  4. Step 4: Simplify right side
    15,509.37x = 180,549,908.96
  5. Step 5: Solve for x
    x = 180,549,908.96/15,509.37
  6. Step 6: Final answer
    x = 11,641.34

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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.