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Finding the Fourth Proportional to 19,354.86, 29,026.82 and 7,507.80

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Solution

The fourth proportional to 19,354.86, 29,026.82 and 7,507.80 is: 11,259.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,354.86 : 29,026.82 = 7,507.80 : x
  2. Step 2: Convert to fraction form
    19,354.86/29,026.82 = 7,507.80/x
  3. Step 3: Cross multiply
    19,354.86x = 29,026.82 × 7,507.80
  4. Step 4: Simplify right side
    19,354.86x = 217,927,577.97
  5. Step 5: Solve for x
    x = 217,927,577.97/19,354.86
  6. Step 6: Final answer
    x = 11,259.58

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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.