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Finding the Fourth Proportional to 16,032.84, 22,105.08 and 10,357.98

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Solution

The fourth proportional to 16,032.84, 22,105.08 and 10,357.98 is: 14,280.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,032.84 : 22,105.08 = 10,357.98 : x
  2. Step 2: Convert to fraction form
    16,032.84/22,105.08 = 10,357.98/x
  3. Step 3: Cross multiply
    16,032.84x = 22,105.08 × 10,357.98
  4. Step 4: Simplify right side
    16,032.84x = 228,963,976.54
  5. Step 5: Solve for x
    x = 228,963,976.54/16,032.84
  6. Step 6: Final answer
    x = 14,280.94

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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.