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Finding the Fourth Proportional to 25,792.74, 38,692.26 and 9,998.01

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Solution

The fourth proportional to 25,792.74, 38,692.26 and 9,998.01 is: 14,998.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,792.74 : 38,692.26 = 9,998.01 : x
  2. Step 2: Convert to fraction form
    25,792.74/38,692.26 = 9,998.01/x
  3. Step 3: Cross multiply
    25,792.74x = 38,692.26 × 9,998.01
  4. Step 4: Simplify right side
    25,792.74x = 386,845,602.40
  5. Step 5: Solve for x
    x = 386,845,602.40/25,792.74
  6. Step 6: Final answer
    x = 14,998.24

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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.