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Finding the Fourth Proportional to 14,009.68, 21,016.56 and 6,509.64

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Solution

The fourth proportional to 14,009.68, 21,016.56 and 6,509.64 is: 9,765.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,009.68 : 21,016.56 = 6,509.64 : x
  2. Step 2: Convert to fraction form
    14,009.68/21,016.56 = 6,509.64/x
  3. Step 3: Cross multiply
    14,009.68x = 21,016.56 × 6,509.64
  4. Step 4: Simplify right side
    14,009.68x = 136,810,239.64
  5. Step 5: Solve for x
    x = 136,810,239.64/14,009.68
  6. Step 6: Final answer
    x = 9,765.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.