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Finding the Fourth Proportional to 17,830.84, 26,738.35 and 9,509.31

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Solution

The fourth proportional to 17,830.84, 26,738.35 and 9,509.31 is: 14,259.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,830.84 : 26,738.35 = 9,509.31 : x
  2. Step 2: Convert to fraction form
    17,830.84/26,738.35 = 9,509.31/x
  3. Step 3: Cross multiply
    17,830.84x = 26,738.35 × 9,509.31
  4. Step 4: Simplify right side
    17,830.84x = 254,263,259.04
  5. Step 5: Solve for x
    x = 254,263,259.04/17,830.84
  6. Step 6: Final answer
    x = 14,259.75

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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.