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Finding the Fourth Proportional to 25,578.74, 38,328.30 and 9,775.14

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Solution

The fourth proportional to 25,578.74, 38,328.30 and 9,775.14 is: 14,647.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,578.74 : 38,328.30 = 9,775.14 : x
  2. Step 2: Convert to fraction form
    25,578.74/38,328.30 = 9,775.14/x
  3. Step 3: Cross multiply
    25,578.74x = 38,328.30 × 9,775.14
  4. Step 4: Simplify right side
    25,578.74x = 374,664,498.46
  5. Step 5: Solve for x
    x = 374,664,498.46/25,578.74
  6. Step 6: Final answer
    x = 14,647.50

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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.