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Finding the Fourth Proportional to 17,831.94, 24,607.76 and 9,874.14

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Solution

The fourth proportional to 17,831.94, 24,607.76 and 9,874.14 is: 13,626.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,831.94 : 24,607.76 = 9,874.14 : x
  2. Step 2: Convert to fraction form
    17,831.94/24,607.76 = 9,874.14/x
  3. Step 3: Cross multiply
    17,831.94x = 24,607.76 × 9,874.14
  4. Step 4: Simplify right side
    17,831.94x = 242,980,417.96
  5. Step 5: Solve for x
    x = 242,980,417.96/17,831.94
  6. Step 6: Final answer
    x = 13,626.13

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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.