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Finding the Fourth Proportional to 25,985.00, 38,973.83 and 9,342.61

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Solution

The fourth proportional to 25,985.00, 38,973.83 and 9,342.61 is: 14,012.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,985.00 : 38,973.83 = 9,342.61 : x
  2. Step 2: Convert to fraction form
    25,985.00/38,973.83 = 9,342.61/x
  3. Step 3: Cross multiply
    25,985.00x = 38,973.83 × 9,342.61
  4. Step 4: Simplify right side
    25,985.00x = 364,117,149.75
  5. Step 5: Solve for x
    x = 364,117,149.75/25,985.00
  6. Step 6: Final answer
    x = 14,012.59

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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.