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Finding the Fourth Proportional to 27,321, 40,987.98 and 8,853

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Solution

The fourth proportional to 27,321, 40,987.98 and 8,853 is: 13,281.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,321 : 40,987.98 = 8,853 : x
  2. Step 2: Convert to fraction form
    27,321/40,987.98 = 8,853/x
  3. Step 3: Cross multiply
    27,321x = 40,987.98 × 8,853
  4. Step 4: Simplify right side
    27,321x = 362,866,586.94
  5. Step 5: Solve for x
    x = 362,866,586.94/27,321
  6. Step 6: Final answer
    x = 13,281.60

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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.