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Finding the Fourth Proportional to 25,054.69, 37,582.95 and 8,415.27

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Solution

The fourth proportional to 25,054.69, 37,582.95 and 8,415.27 is: 12,623.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,054.69 : 37,582.95 = 8,415.27 : x
  2. Step 2: Convert to fraction form
    25,054.69/37,582.95 = 8,415.27/x
  3. Step 3: Cross multiply
    25,054.69x = 37,582.95 × 8,415.27
  4. Step 4: Simplify right side
    25,054.69x = 316,270,671.65
  5. Step 5: Solve for x
    x = 316,270,671.65/25,054.69
  6. Step 6: Final answer
    x = 12,623.21

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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.