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Finding the Fourth Proportional to 25,325.04, 37,978.92 and 9,748.08

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Solution

The fourth proportional to 25,325.04, 37,978.92 and 9,748.08 is: 14,618.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,325.04 : 37,978.92 = 9,748.08 : x
  2. Step 2: Convert to fraction form
    25,325.04/37,978.92 = 9,748.08/x
  3. Step 3: Cross multiply
    25,325.04x = 37,978.92 × 9,748.08
  4. Step 4: Simplify right side
    25,325.04x = 370,221,550.47
  5. Step 5: Solve for x
    x = 370,221,550.47/25,325.04
  6. Step 6: Final answer
    x = 14,618.79

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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.