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Finding the Fourth Proportional to 17,509.60, 26,266.04 and 6,977.08

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Solution

The fourth proportional to 17,509.60, 26,266.04 and 6,977.08 is: 10,466.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,509.60 : 26,266.04 = 6,977.08 : x
  2. Step 2: Convert to fraction form
    17,509.60/26,266.04 = 6,977.08/x
  3. Step 3: Cross multiply
    17,509.60x = 26,266.04 × 6,977.08
  4. Step 4: Simplify right side
    17,509.60x = 183,260,262.36
  5. Step 5: Solve for x
    x = 183,260,262.36/17,509.60
  6. Step 6: Final answer
    x = 10,466.27

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Why These Related Problems?

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