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Finding the Fourth Proportional to 13,712.51, 18,923.60 and 8,410.25

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Solution

The fourth proportional to 13,712.51, 18,923.60 and 8,410.25 is: 11,606.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,712.51 : 18,923.60 = 8,410.25 : x
  2. Step 2: Convert to fraction form
    13,712.51/18,923.60 = 8,410.25/x
  3. Step 3: Cross multiply
    13,712.51x = 18,923.60 × 8,410.25
  4. Step 4: Simplify right side
    13,712.51x = 159,152,133.31
  5. Step 5: Solve for x
    x = 159,152,133.31/13,712.51
  6. Step 6: Final answer
    x = 11,606.35

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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.