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Finding the Fourth Proportional to 19,825.78, 27,355.44 and 13,457.30

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Solution

The fourth proportional to 19,825.78, 27,355.44 and 13,457.30 is: 18,568.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,825.78 : 27,355.44 = 13,457.30 : x
  2. Step 2: Convert to fraction form
    19,825.78/27,355.44 = 13,457.30/x
  3. Step 3: Cross multiply
    19,825.78x = 27,355.44 × 13,457.30
  4. Step 4: Simplify right side
    19,825.78x = 368,130,362.71
  5. Step 5: Solve for x
    x = 368,130,362.71/19,825.78
  6. Step 6: Final answer
    x = 18,568.27

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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.