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Finding the Fourth Proportional to 14,057.58, 19,415.40 and 9,573.54

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Solution

The fourth proportional to 14,057.58, 19,415.40 and 9,573.54 is: 13,222.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,057.58 : 19,415.40 = 9,573.54 : x
  2. Step 2: Convert to fraction form
    14,057.58/19,415.40 = 9,573.54/x
  3. Step 3: Cross multiply
    14,057.58x = 19,415.40 × 9,573.54
  4. Step 4: Simplify right side
    14,057.58x = 185,874,108.52
  5. Step 5: Solve for x
    x = 185,874,108.52/14,057.58
  6. Step 6: Final answer
    x = 13,222.34

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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.