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Finding the Fourth Proportional to 13,005.86, 19,508.80 and 5,109.20

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Solution

The fourth proportional to 13,005.86, 19,508.80 and 5,109.20 is: 7,663.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005.86 : 19,508.80 = 5,109.20 : x
  2. Step 2: Convert to fraction form
    13,005.86/19,508.80 = 5,109.20/x
  3. Step 3: Cross multiply
    13,005.86x = 19,508.80 × 5,109.20
  4. Step 4: Simplify right side
    13,005.86x = 99,674,360.96
  5. Step 5: Solve for x
    x = 99,674,360.96/13,005.86
  6. Step 6: Final answer
    x = 7,663.80

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