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Finding the Fourth Proportional to 14,897.50, 22,346.25 and 3,804.20

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Solution

The fourth proportional to 14,897.50, 22,346.25 and 3,804.20 is: 5,706.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,897.50 : 22,346.25 = 3,804.20 : x
  2. Step 2: Convert to fraction form
    14,897.50/22,346.25 = 3,804.20/x
  3. Step 3: Cross multiply
    14,897.50x = 22,346.25 × 3,804.20
  4. Step 4: Simplify right side
    14,897.50x = 85,009,562.05
  5. Step 5: Solve for x
    x = 85,009,562.05/14,897.50
  6. Step 6: Final answer
    x = 5,706.30

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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.