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Finding the Fourth Proportional to 16,929.92, 23,364.61 and 9,762.14

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Solution

The fourth proportional to 16,929.92, 23,364.61 and 9,762.14 is: 13,472.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,929.92 : 23,364.61 = 9,762.14 : x
  2. Step 2: Convert to fraction form
    16,929.92/23,364.61 = 9,762.14/x
  3. Step 3: Cross multiply
    16,929.92x = 23,364.61 × 9,762.14
  4. Step 4: Simplify right side
    16,929.92x = 228,088,477.04
  5. Step 5: Solve for x
    x = 228,088,477.04/16,929.92
  6. Step 6: Final answer
    x = 13,472.51

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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.