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Finding the Fourth Proportional to 14,285.51, 21,442.07 and 6,895.16

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Solution

The fourth proportional to 14,285.51, 21,442.07 and 6,895.16 is: 10,349.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,285.51 : 21,442.07 = 6,895.16 : x
  2. Step 2: Convert to fraction form
    14,285.51/21,442.07 = 6,895.16/x
  3. Step 3: Cross multiply
    14,285.51x = 21,442.07 × 6,895.16
  4. Step 4: Simplify right side
    14,285.51x = 147,846,574.22
  5. Step 5: Solve for x
    x = 147,846,574.22/14,285.51
  6. Step 6: Final answer
    x = 10,349.41

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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.