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Finding the Fourth Proportional to 13,561.83, 18,714.34 and 8,258.36

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Solution

The fourth proportional to 13,561.83, 18,714.34 and 8,258.36 is: 11,395.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,561.83 : 18,714.34 = 8,258.36 : x
  2. Step 2: Convert to fraction form
    13,561.83/18,714.34 = 8,258.36/x
  3. Step 3: Cross multiply
    13,561.83x = 18,714.34 × 8,258.36
  4. Step 4: Simplify right side
    13,561.83x = 154,549,673.63
  5. Step 5: Solve for x
    x = 154,549,673.63/13,561.83
  6. Step 6: Final answer
    x = 11,395.93

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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.