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Finding the Fourth Proportional to 14,897.81, 22,346.69 and 3,804.50

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Solution

The fourth proportional to 14,897.81, 22,346.69 and 3,804.50 is: 5,706.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,897.81 : 22,346.69 = 3,804.50 : x
  2. Step 2: Convert to fraction form
    14,897.81/22,346.69 = 3,804.50/x
  3. Step 3: Cross multiply
    14,897.81x = 22,346.69 × 3,804.50
  4. Step 4: Simplify right side
    14,897.81x = 85,017,982.11
  5. Step 5: Solve for x
    x = 85,017,982.11/14,897.81
  6. Step 6: Final answer
    x = 5,706.74

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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.