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Finding the Fourth Proportional to 17,564.51, 26,343.12 and 6,468.32

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Solution

The fourth proportional to 17,564.51, 26,343.12 and 6,468.32 is: 9,701.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,564.51 : 26,343.12 = 6,468.32 : x
  2. Step 2: Convert to fraction form
    17,564.51/26,343.12 = 6,468.32/x
  3. Step 3: Cross multiply
    17,564.51x = 26,343.12 × 6,468.32
  4. Step 4: Simplify right side
    17,564.51x = 170,395,729.96
  5. Step 5: Solve for x
    x = 170,395,729.96/17,564.51
  6. Step 6: Final answer
    x = 9,701.14

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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.