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Finding the Fourth Proportional to 30,698.15, 46,042.66 and 8,509.21

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Solution

The fourth proportional to 30,698.15, 46,042.66 and 8,509.21 is: 12,762.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,698.15 : 46,042.66 = 8,509.21 : x
  2. Step 2: Convert to fraction form
    30,698.15/46,042.66 = 8,509.21/x
  3. Step 3: Cross multiply
    30,698.15x = 46,042.66 × 8,509.21
  4. Step 4: Simplify right side
    30,698.15x = 391,786,662.90
  5. Step 5: Solve for x
    x = 391,786,662.90/30,698.15
  6. Step 6: Final answer
    x = 12,762.55

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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.