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Finding the Fourth Proportional to 17,339.54, 23,927.74 and 9,784.94

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Solution

The fourth proportional to 17,339.54, 23,927.74 and 9,784.94 is: 13,502.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,339.54 : 23,927.74 = 9,784.94 : x
  2. Step 2: Convert to fraction form
    17,339.54/23,927.74 = 9,784.94/x
  3. Step 3: Cross multiply
    17,339.54x = 23,927.74 × 9,784.94
  4. Step 4: Simplify right side
    17,339.54x = 234,131,356.13
  5. Step 5: Solve for x
    x = 234,131,356.13/17,339.54
  6. Step 6: Final answer
    x = 13,502.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.