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Finding the Fourth Proportional to 12,950.17, 17,870.83 and 7,285.23

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Solution

The fourth proportional to 12,950.17, 17,870.83 and 7,285.23 is: 10,053.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,950.17 : 17,870.83 = 7,285.23 : x
  2. Step 2: Convert to fraction form
    12,950.17/17,870.83 = 7,285.23/x
  3. Step 3: Cross multiply
    12,950.17x = 17,870.83 × 7,285.23
  4. Step 4: Simplify right side
    12,950.17x = 130,193,106.84
  5. Step 5: Solve for x
    x = 130,193,106.84/12,950.17
  6. Step 6: Final answer
    x = 10,053.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.