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Finding the Fourth Proportional to 16,852.12, 23,255.76 and 9,298.51

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Solution

The fourth proportional to 16,852.12, 23,255.76 and 9,298.51 is: 12,831.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,852.12 : 23,255.76 = 9,298.51 : x
  2. Step 2: Convert to fraction form
    16,852.12/23,255.76 = 9,298.51/x
  3. Step 3: Cross multiply
    16,852.12x = 23,255.76 × 9,298.51
  4. Step 4: Simplify right side
    16,852.12x = 216,243,916.92
  5. Step 5: Solve for x
    x = 216,243,916.92/16,852.12
  6. Step 6: Final answer
    x = 12,831.85

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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.