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Finding the Fourth Proportional to 17,574.64, 26,343.60 and 7,705.60

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Solution

The fourth proportional to 17,574.64, 26,343.60 and 7,705.60 is: 11,550.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,574.64 : 26,343.60 = 7,705.60 : x
  2. Step 2: Convert to fraction form
    17,574.64/26,343.60 = 7,705.60/x
  3. Step 3: Cross multiply
    17,574.64x = 26,343.60 × 7,705.60
  4. Step 4: Simplify right side
    17,574.64x = 202,993,244.16
  5. Step 5: Solve for x
    x = 202,993,244.16/17,574.64
  6. Step 6: Final answer
    x = 11,550.35

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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.