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Finding the Fourth Proportional to 25,702.38, 35,466.16 and 14,215.74

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Solution

The fourth proportional to 25,702.38, 35,466.16 and 14,215.74 is: 19,615.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,702.38 : 35,466.16 = 14,215.74 : x
  2. Step 2: Convert to fraction form
    25,702.38/35,466.16 = 14,215.74/x
  3. Step 3: Cross multiply
    25,702.38x = 35,466.16 × 14,215.74
  4. Step 4: Simplify right side
    25,702.38x = 504,177,709.36
  5. Step 5: Solve for x
    x = 504,177,709.36/25,702.38
  6. Step 6: Final answer
    x = 19,615.99

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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.