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Finding the Fourth Proportional to 14,117.16, 21,185.73 and 5,804.73

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Solution

The fourth proportional to 14,117.16, 21,185.73 and 5,804.73 is: 8,711.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,117.16 : 21,185.73 = 5,804.73 : x
  2. Step 2: Convert to fraction form
    14,117.16/21,185.73 = 5,804.73/x
  3. Step 3: Cross multiply
    14,117.16x = 21,185.73 × 5,804.73
  4. Step 4: Simplify right side
    14,117.16x = 122,977,442.50
  5. Step 5: Solve for x
    x = 122,977,442.50/14,117.16
  6. Step 6: Final answer
    x = 8,711.20

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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.