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Finding the Fourth Proportional to 14,286.64, 19,702.34 and 9,802.48

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Solution

The fourth proportional to 14,286.64, 19,702.34 and 9,802.48 is: 13,518.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,286.64 : 19,702.34 = 9,802.48 : x
  2. Step 2: Convert to fraction form
    14,286.64/19,702.34 = 9,802.48/x
  3. Step 3: Cross multiply
    14,286.64x = 19,702.34 × 9,802.48
  4. Step 4: Simplify right side
    14,286.64x = 193,131,793.80
  5. Step 5: Solve for x
    x = 193,131,793.80/14,286.64
  6. Step 6: Final answer
    x = 13,518.35

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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.