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Finding the Fourth Proportional to 14,369.32, 19,823.38 and 8,777

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Solution

The fourth proportional to 14,369.32, 19,823.38 and 8,777 is: 12,108.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,369.32 : 19,823.38 = 8,777 : x
  2. Step 2: Convert to fraction form
    14,369.32/19,823.38 = 8,777/x
  3. Step 3: Cross multiply
    14,369.32x = 19,823.38 × 8,777
  4. Step 4: Simplify right side
    14,369.32x = 173,989,806.26
  5. Step 5: Solve for x
    x = 173,989,806.26/14,369.32
  6. Step 6: Final answer
    x = 12,108.42

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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.