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Finding the Fourth Proportional to 17,228.07, 23,774.75 and 9,776.07

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Solution

The fourth proportional to 17,228.07, 23,774.75 and 9,776.07 is: 13,490.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,228.07 : 23,774.75 = 9,776.07 : x
  2. Step 2: Convert to fraction form
    17,228.07/23,774.75 = 9,776.07/x
  3. Step 3: Cross multiply
    17,228.07x = 23,774.75 × 9,776.07
  4. Step 4: Simplify right side
    17,228.07x = 232,423,571.35
  5. Step 5: Solve for x
    x = 232,423,571.35/17,228.07
  6. Step 6: Final answer
    x = 13,490.98

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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.