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Finding the Fourth Proportional to 25,603.84, 38,405.70 and 10,010.50

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Solution

The fourth proportional to 25,603.84, 38,405.70 and 10,010.50 is: 15,015.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,603.84 : 38,405.70 = 10,010.50 : x
  2. Step 2: Convert to fraction form
    25,603.84/38,405.70 = 10,010.50/x
  3. Step 3: Cross multiply
    25,603.84x = 38,405.70 × 10,010.50
  4. Step 4: Simplify right side
    25,603.84x = 384,460,259.85
  5. Step 5: Solve for x
    x = 384,460,259.85/25,603.84
  6. Step 6: Final answer
    x = 15,015.73

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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.