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Finding the Fourth Proportional to 17,832.51, 24,607.53 and 9,764.40

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Solution

The fourth proportional to 17,832.51, 24,607.53 and 9,764.40 is: 13,474.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,832.51 : 24,607.53 = 9,764.40 : x
  2. Step 2: Convert to fraction form
    17,832.51/24,607.53 = 9,764.40/x
  3. Step 3: Cross multiply
    17,832.51x = 24,607.53 × 9,764.40
  4. Step 4: Simplify right side
    17,832.51x = 240,277,765.93
  5. Step 5: Solve for x
    x = 240,277,765.93/17,832.51
  6. Step 6: Final answer
    x = 13,474.14

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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.