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Finding the Fourth Proportional to 25,364.21, 38,048.13 and 7,831.76

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Solution

The fourth proportional to 25,364.21, 38,048.13 and 7,831.76 is: 11,748.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,364.21 : 38,048.13 = 7,831.76 : x
  2. Step 2: Convert to fraction form
    25,364.21/38,048.13 = 7,831.76/x
  3. Step 3: Cross multiply
    25,364.21x = 38,048.13 × 7,831.76
  4. Step 4: Simplify right side
    25,364.21x = 297,983,632.37
  5. Step 5: Solve for x
    x = 297,983,632.37/25,364.21
  6. Step 6: Final answer
    x = 11,748.20

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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.