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Finding the Fourth Proportional to 27,762.25, 38,312.52 and 15,187

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Solution

The fourth proportional to 27,762.25, 38,312.52 and 15,187 is: 20,958.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,762.25 : 38,312.52 = 15,187 : x
  2. Step 2: Convert to fraction form
    27,762.25/38,312.52 = 15,187/x
  3. Step 3: Cross multiply
    27,762.25x = 38,312.52 × 15,187
  4. Step 4: Simplify right side
    27,762.25x = 581,852,241.24
  5. Step 5: Solve for x
    x = 581,852,241.24/27,762.25
  6. Step 6: Final answer
    x = 20,958.40

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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.