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Finding the Fourth Proportional to 14,174.14, 19,561.08 and 7,886.65

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Solution

The fourth proportional to 14,174.14, 19,561.08 and 7,886.65 is: 10,884.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,174.14 : 19,561.08 = 7,886.65 : x
  2. Step 2: Convert to fraction form
    14,174.14/19,561.08 = 7,886.65/x
  3. Step 3: Cross multiply
    14,174.14x = 19,561.08 × 7,886.65
  4. Step 4: Simplify right side
    14,174.14x = 154,271,391.58
  5. Step 5: Solve for x
    x = 154,271,391.58/14,174.14
  6. Step 6: Final answer
    x = 10,884.00

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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.