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Finding the Fourth Proportional to 14,262.23, 19,682 and 7,888.49

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Solution

The fourth proportional to 14,262.23, 19,682 and 7,888.49 is: 10,886.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,262.23 : 19,682 = 7,888.49 : x
  2. Step 2: Convert to fraction form
    14,262.23/19,682 = 7,888.49/x
  3. Step 3: Cross multiply
    14,262.23x = 19,682 × 7,888.49
  4. Step 4: Simplify right side
    14,262.23x = 155,261,260.18
  5. Step 5: Solve for x
    x = 155,261,260.18/14,262.23
  6. Step 6: Final answer
    x = 10,886.18

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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.