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Finding the Fourth Proportional to 16,557.54, 22,838.04 and 13,824.54

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Solution

The fourth proportional to 16,557.54, 22,838.04 and 13,824.54 is: 19,068.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,557.54 : 22,838.04 = 13,824.54 : x
  2. Step 2: Convert to fraction form
    16,557.54/22,838.04 = 13,824.54/x
  3. Step 3: Cross multiply
    16,557.54x = 22,838.04 × 13,824.54
  4. Step 4: Simplify right side
    16,557.54x = 315,725,397.50
  5. Step 5: Solve for x
    x = 315,725,397.50/16,557.54
  6. Step 6: Final answer
    x = 19,068.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.