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Finding the Fourth Proportional to 16,885.92, 23,303.64 and 9,718.26

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Solution

The fourth proportional to 16,885.92, 23,303.64 and 9,718.26 is: 13,411.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,885.92 : 23,303.64 = 9,718.26 : x
  2. Step 2: Convert to fraction form
    16,885.92/23,303.64 = 9,718.26/x
  3. Step 3: Cross multiply
    16,885.92x = 23,303.64 × 9,718.26
  4. Step 4: Simplify right side
    16,885.92x = 226,470,832.47
  5. Step 5: Solve for x
    x = 226,470,832.47/16,885.92
  6. Step 6: Final answer
    x = 13,411.81

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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.