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Finding the Fourth Proportional to 22,741.91, 34,117.47 and 9,594.32

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Solution

The fourth proportional to 22,741.91, 34,117.47 and 9,594.32 is: 14,393.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,741.91 : 34,117.47 = 9,594.32 : x
  2. Step 2: Convert to fraction form
    22,741.91/34,117.47 = 9,594.32/x
  3. Step 3: Cross multiply
    22,741.91x = 34,117.47 × 9,594.32
  4. Step 4: Simplify right side
    22,741.91x = 327,333,924.77
  5. Step 5: Solve for x
    x = 327,333,924.77/22,741.91
  6. Step 6: Final answer
    x = 14,393.42

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1.5x scale

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.