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Finding the Fourth Proportional to 15,702.14, 21,668.97 and 8,628.98

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Solution

The fourth proportional to 15,702.14, 21,668.97 and 8,628.98 is: 11,908.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,702.14 : 21,668.97 = 8,628.98 : x
  2. Step 2: Convert to fraction form
    15,702.14/21,668.97 = 8,628.98/x
  3. Step 3: Cross multiply
    15,702.14x = 21,668.97 × 8,628.98
  4. Step 4: Simplify right side
    15,702.14x = 186,981,108.75
  5. Step 5: Solve for x
    x = 186,981,108.75/15,702.14
  6. Step 6: Final answer
    x = 11,908.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.