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Finding the Fourth Proportional to 16,053.78, 24,072 and 7,283.91

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Solution

The fourth proportional to 16,053.78, 24,072 and 7,283.91 is: 10,921.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,053.78 : 24,072 = 7,283.91 : x
  2. Step 2: Convert to fraction form
    16,053.78/24,072 = 7,283.91/x
  3. Step 3: Cross multiply
    16,053.78x = 24,072 × 7,283.91
  4. Step 4: Simplify right side
    16,053.78x = 175,338,281.52
  5. Step 5: Solve for x
    x = 175,338,281.52/16,053.78
  6. Step 6: Final answer
    x = 10,921.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.