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Finding the Fourth Proportional to 13,783.66, 19,020.88 and 8,118.64

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Solution

The fourth proportional to 13,783.66, 19,020.88 and 8,118.64 is: 11,203.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.66 : 19,020.88 = 8,118.64 : x
  2. Step 2: Convert to fraction form
    13,783.66/19,020.88 = 8,118.64/x
  3. Step 3: Cross multiply
    13,783.66x = 19,020.88 × 8,118.64
  4. Step 4: Simplify right side
    13,783.66x = 154,423,609.35
  5. Step 5: Solve for x
    x = 154,423,609.35/13,783.66
  6. Step 6: Final answer
    x = 11,203.38

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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.