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Finding the Fourth Proportional to 17,509.69, 26,266.14 and 6,977.16

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Solution

The fourth proportional to 17,509.69, 26,266.14 and 6,977.16 is: 10,466.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,509.69 : 26,266.14 = 6,977.16 : x
  2. Step 2: Convert to fraction form
    17,509.69/26,266.14 = 6,977.16/x
  3. Step 3: Cross multiply
    17,509.69x = 26,266.14 × 6,977.16
  4. Step 4: Simplify right side
    17,509.69x = 183,263,061.36
  5. Step 5: Solve for x
    x = 183,263,061.36/17,509.69
  6. Step 6: Final answer
    x = 10,466.38

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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.