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Finding the Fourth Proportional to 14,246.34, 19,659.88 and 7,873.38

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Solution

The fourth proportional to 14,246.34, 19,659.88 and 7,873.38 is: 10,865.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,246.34 : 19,659.88 = 7,873.38 : x
  2. Step 2: Convert to fraction form
    14,246.34/19,659.88 = 7,873.38/x
  3. Step 3: Cross multiply
    14,246.34x = 19,659.88 × 7,873.38
  4. Step 4: Simplify right side
    14,246.34x = 154,789,666.63
  5. Step 5: Solve for x
    x = 154,789,666.63/14,246.34
  6. Step 6: Final answer
    x = 10,865.22

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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.