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Finding the Fourth Proportional to 14,766.16, 22,161.78 and 7,368.40

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Solution

The fourth proportional to 14,766.16, 22,161.78 and 7,368.40 is: 11,058.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,766.16 : 22,161.78 = 7,368.40 : x
  2. Step 2: Convert to fraction form
    14,766.16/22,161.78 = 7,368.40/x
  3. Step 3: Cross multiply
    14,766.16x = 22,161.78 × 7,368.40
  4. Step 4: Simplify right side
    14,766.16x = 163,296,859.75
  5. Step 5: Solve for x
    x = 163,296,859.75/14,766.16
  6. Step 6: Final answer
    x = 11,058.86

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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.