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Finding the Fourth Proportional to 13,646.44, 18,831.90 and 7,985.08

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Solution

The fourth proportional to 13,646.44, 18,831.90 and 7,985.08 is: 11,019.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,646.44 : 18,831.90 = 7,985.08 : x
  2. Step 2: Convert to fraction form
    13,646.44/18,831.90 = 7,985.08/x
  3. Step 3: Cross multiply
    13,646.44x = 18,831.90 × 7,985.08
  4. Step 4: Simplify right side
    13,646.44x = 150,374,228.05
  5. Step 5: Solve for x
    x = 150,374,228.05/13,646.44
  6. Step 6: Final answer
    x = 11,019.30

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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.