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Finding the Fourth Proportional to 17,564.23, 26,328.55 and 6,316.22

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Solution

The fourth proportional to 17,564.23, 26,328.55 and 6,316.22 is: 9,467.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,564.23 : 26,328.55 = 6,316.22 : x
  2. Step 2: Convert to fraction form
    17,564.23/26,328.55 = 6,316.22/x
  3. Step 3: Cross multiply
    17,564.23x = 26,328.55 × 6,316.22
  4. Step 4: Simplify right side
    17,564.23x = 166,296,914.08
  5. Step 5: Solve for x
    x = 166,296,914.08/17,564.23
  6. Step 6: Final answer
    x = 9,467.93

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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.