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Finding the Fourth Proportional to 14,415.67, 19,893.10 and 8,042.16

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Solution

The fourth proportional to 14,415.67, 19,893.10 and 8,042.16 is: 11,097.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,415.67 : 19,893.10 = 8,042.16 : x
  2. Step 2: Convert to fraction form
    14,415.67/19,893.10 = 8,042.16/x
  3. Step 3: Cross multiply
    14,415.67x = 19,893.10 × 8,042.16
  4. Step 4: Simplify right side
    14,415.67x = 159,983,512.37
  5. Step 5: Solve for x
    x = 159,983,512.37/14,415.67
  6. Step 6: Final answer
    x = 11,097.89

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1.5x scale

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.