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Finding the Fourth Proportional to 14,166.27, 19,548.95 and 7,878.51

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Solution

The fourth proportional to 14,166.27, 19,548.95 and 7,878.51 is: 10,872.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,166.27 : 19,548.95 = 7,878.51 : x
  2. Step 2: Convert to fraction form
    14,166.27/19,548.95 = 7,878.51/x
  3. Step 3: Cross multiply
    14,166.27x = 19,548.95 × 7,878.51
  4. Step 4: Simplify right side
    14,166.27x = 154,016,558.67
  5. Step 5: Solve for x
    x = 154,016,558.67/14,166.27
  6. Step 6: Final answer
    x = 10,872.06

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