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Finding the Fourth Proportional to 14,978.93, 22,446.52 and 8,406.99

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Solution

The fourth proportional to 14,978.93, 22,446.52 and 8,406.99 is: 12,598.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,978.93 : 22,446.52 = 8,406.99 : x
  2. Step 2: Convert to fraction form
    14,978.93/22,446.52 = 8,406.99/x
  3. Step 3: Cross multiply
    14,978.93x = 22,446.52 × 8,406.99
  4. Step 4: Simplify right side
    14,978.93x = 188,707,648.16
  5. Step 5: Solve for x
    x = 188,707,648.16/14,978.93
  6. Step 6: Final answer
    x = 12,598.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.