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Finding the Fourth Proportional to 25,202.89, 37,804.44 and 10,210.30

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Solution

The fourth proportional to 25,202.89, 37,804.44 and 10,210.30 is: 15,315.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,202.89 : 37,804.44 = 10,210.30 : x
  2. Step 2: Convert to fraction form
    25,202.89/37,804.44 = 10,210.30/x
  3. Step 3: Cross multiply
    25,202.89x = 37,804.44 × 10,210.30
  4. Step 4: Simplify right side
    25,202.89x = 385,994,812.82
  5. Step 5: Solve for x
    x = 385,994,812.82/25,202.89
  6. Step 6: Final answer
    x = 15,315.50

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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.