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Finding the Fourth Proportional to 13,815.52, 19,054.91 and 8,971.36

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Solution

The fourth proportional to 13,815.52, 19,054.91 and 8,971.36 is: 12,373.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,815.52 : 19,054.91 = 8,971.36 : x
  2. Step 2: Convert to fraction form
    13,815.52/19,054.91 = 8,971.36/x
  3. Step 3: Cross multiply
    13,815.52x = 19,054.91 × 8,971.36
  4. Step 4: Simplify right side
    13,815.52x = 170,948,457.38
  5. Step 5: Solve for x
    x = 170,948,457.38/13,815.52
  6. Step 6: Final answer
    x = 12,373.65

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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.