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Finding the Fourth Proportional to 14,557.79, 20,097.39 and 9,802.73

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Solution

The fourth proportional to 14,557.79, 20,097.39 and 9,802.73 is: 13,532.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,557.79 : 20,097.39 = 9,802.73 : x
  2. Step 2: Convert to fraction form
    14,557.79/20,097.39 = 9,802.73/x
  3. Step 3: Cross multiply
    14,557.79x = 20,097.39 × 9,802.73
  4. Step 4: Simplify right side
    14,557.79x = 197,009,287.87
  5. Step 5: Solve for x
    x = 197,009,287.87/14,557.79
  6. Step 6: Final answer
    x = 13,532.91

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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.