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Finding the Fourth Proportional to 14,202.14, 19,598.09 and 7,828.45

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Solution

The fourth proportional to 14,202.14, 19,598.09 and 7,828.45 is: 10,802.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,202.14 : 19,598.09 = 7,828.45 : x
  2. Step 2: Convert to fraction form
    14,202.14/19,598.09 = 7,828.45/x
  3. Step 3: Cross multiply
    14,202.14x = 19,598.09 × 7,828.45
  4. Step 4: Simplify right side
    14,202.14x = 153,422,579.52
  5. Step 5: Solve for x
    x = 153,422,579.52/14,202.14
  6. Step 6: Final answer
    x = 10,802.78

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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.