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Finding the Fourth Proportional to 13,646.37, 18,831.77 and 7,678.04

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Solution

The fourth proportional to 13,646.37, 18,831.77 and 7,678.04 is: 10,595.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,646.37 : 18,831.77 = 7,678.04 : x
  2. Step 2: Convert to fraction form
    13,646.37/18,831.77 = 7,678.04/x
  3. Step 3: Cross multiply
    13,646.37x = 18,831.77 × 7,678.04
  4. Step 4: Simplify right side
    13,646.37x = 144,591,008.37
  5. Step 5: Solve for x
    x = 144,591,008.37/13,646.37
  6. Step 6: Final answer
    x = 10,595.57

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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.