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Finding the Fourth Proportional to 14,843.64, 20,476.80 and 9,802.56

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Solution

The fourth proportional to 14,843.64, 20,476.80 and 9,802.56 is: 13,522.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,843.64 : 20,476.80 = 9,802.56 : x
  2. Step 2: Convert to fraction form
    14,843.64/20,476.80 = 9,802.56/x
  3. Step 3: Cross multiply
    14,843.64x = 20,476.80 × 9,802.56
  4. Step 4: Simplify right side
    14,843.64x = 200,725,060.61
  5. Step 5: Solve for x
    x = 200,725,060.61/14,843.64
  6. Step 6: Final answer
    x = 13,522.63

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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.