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Finding the Fourth Proportional to 17,564.30, 26,356.85 and 6,478.77

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Solution

The fourth proportional to 17,564.30, 26,356.85 and 6,478.77 is: 9,721.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,564.30 : 26,356.85 = 6,478.77 : x
  2. Step 2: Convert to fraction form
    17,564.30/26,356.85 = 6,478.77/x
  3. Step 3: Cross multiply
    17,564.30x = 26,356.85 × 6,478.77
  4. Step 4: Simplify right side
    17,564.30x = 170,759,969.07
  5. Step 5: Solve for x
    x = 170,759,969.07/17,564.30
  6. Step 6: Final answer
    x = 9,721.99

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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.