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Finding the Fourth Proportional to 25,286.16, 37,931.06 and 9,703.79

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Solution

The fourth proportional to 25,286.16, 37,931.06 and 9,703.79 is: 14,556.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,286.16 : 37,931.06 = 9,703.79 : x
  2. Step 2: Convert to fraction form
    25,286.16/37,931.06 = 9,703.79/x
  3. Step 3: Cross multiply
    25,286.16x = 37,931.06 × 9,703.79
  4. Step 4: Simplify right side
    25,286.16x = 368,074,802.54
  5. Step 5: Solve for x
    x = 368,074,802.54/25,286.16
  6. Step 6: Final answer
    x = 14,556.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.