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Finding the Fourth Proportional to 25,054.84, 37,564.44 and 12,565.84

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Solution

The fourth proportional to 25,054.84, 37,564.44 and 12,565.84 is: 18,839.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,054.84 : 37,564.44 = 12,565.84 : x
  2. Step 2: Convert to fraction form
    25,054.84/37,564.44 = 12,565.84/x
  3. Step 3: Cross multiply
    25,054.84x = 37,564.44 × 12,565.84
  4. Step 4: Simplify right side
    25,054.84x = 472,028,742.73
  5. Step 5: Solve for x
    x = 472,028,742.73/25,054.84
  6. Step 6: Final answer
    x = 18,839.82

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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.