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Finding the Fourth Proportional to 14,107.16, 21,170.47 and 4,873.16

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Solution

The fourth proportional to 14,107.16, 21,170.47 and 4,873.16 is: 7,313.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,107.16 : 21,170.47 = 4,873.16 : x
  2. Step 2: Convert to fraction form
    14,107.16/21,170.47 = 4,873.16/x
  3. Step 3: Cross multiply
    14,107.16x = 21,170.47 × 4,873.16
  4. Step 4: Simplify right side
    14,107.16x = 103,166,981.73
  5. Step 5: Solve for x
    x = 103,166,981.73/14,107.16
  6. Step 6: Final answer
    x = 7,313.10

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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.