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Finding the Fourth Proportional to 19,857.40, 27,402 and 10,904.68

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Solution

The fourth proportional to 19,857.40, 27,402 and 10,904.68 is: 15,047.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,857.40 : 27,402 = 10,904.68 : x
  2. Step 2: Convert to fraction form
    19,857.40/27,402 = 10,904.68/x
  3. Step 3: Cross multiply
    19,857.40x = 27,402 × 10,904.68
  4. Step 4: Simplify right side
    19,857.40x = 298,810,041.36
  5. Step 5: Solve for x
    x = 298,810,041.36/19,857.40
  6. Step 6: Final answer
    x = 15,047.79

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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.