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Finding the Fourth Proportional to 27,798.88, 41,702.63 and 9,335.20

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Solution

The fourth proportional to 27,798.88, 41,702.63 and 9,335.20 is: 14,004.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,798.88 : 41,702.63 = 9,335.20 : x
  2. Step 2: Convert to fraction form
    27,798.88/41,702.63 = 9,335.20/x
  3. Step 3: Cross multiply
    27,798.88x = 41,702.63 × 9,335.20
  4. Step 4: Simplify right side
    27,798.88x = 389,302,206.40
  5. Step 5: Solve for x
    x = 389,302,206.40/27,798.88
  6. Step 6: Final answer
    x = 14,004.24

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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.