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Finding the Fourth Proportional to 17,768.94, 24,520.59 and 9,811.14

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Solution

The fourth proportional to 17,768.94, 24,520.59 and 9,811.14 is: 13,539.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,768.94 : 24,520.59 = 9,811.14 : x
  2. Step 2: Convert to fraction form
    17,768.94/24,520.59 = 9,811.14/x
  3. Step 3: Cross multiply
    17,768.94x = 24,520.59 × 9,811.14
  4. Step 4: Simplify right side
    17,768.94x = 240,574,941.37
  5. Step 5: Solve for x
    x = 240,574,941.37/17,768.94
  6. Step 6: Final answer
    x = 13,539.07

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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.