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Finding the Fourth Proportional to 17,831.29, 24,607.09 and 9,873.50

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Solution

The fourth proportional to 17,831.29, 24,607.09 and 9,873.50 is: 13,625.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,831.29 : 24,607.09 = 9,873.50 : x
  2. Step 2: Convert to fraction form
    17,831.29/24,607.09 = 9,873.50/x
  3. Step 3: Cross multiply
    17,831.29x = 24,607.09 × 9,873.50
  4. Step 4: Simplify right side
    17,831.29x = 242,957,992.42
  5. Step 5: Solve for x
    x = 242,957,992.42/17,831.29
  6. Step 6: Final answer
    x = 13,625.37

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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.