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Finding the Fourth Proportional to 25,223.84, 37,844.40 and 9,645.92

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Solution

The fourth proportional to 25,223.84, 37,844.40 and 9,645.92 is: 14,472.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,223.84 : 37,844.40 = 9,645.92 : x
  2. Step 2: Convert to fraction form
    25,223.84/37,844.40 = 9,645.92/x
  3. Step 3: Cross multiply
    25,223.84x = 37,844.40 × 9,645.92
  4. Step 4: Simplify right side
    25,223.84x = 365,044,054.85
  5. Step 5: Solve for x
    x = 365,044,054.85/25,223.84
  6. Step 6: Final answer
    x = 14,472.18

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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.