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Finding the Fourth Proportional to 17,831.16, 24,606 and 9,873.18

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Solution

The fourth proportional to 17,831.16, 24,606 and 9,873.18 is: 13,624.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,831.16 : 24,606 = 9,873.18 : x
  2. Step 2: Convert to fraction form
    17,831.16/24,606 = 9,873.18/x
  3. Step 3: Cross multiply
    17,831.16x = 24,606 × 9,873.18
  4. Step 4: Simplify right side
    17,831.16x = 242,939,467.08
  5. Step 5: Solve for x
    x = 242,939,467.08/17,831.16
  6. Step 6: Final answer
    x = 13,624.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.