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Finding the Fourth Proportional to 14,257.65, 19,675.61 and 7,970.03

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Solution

The fourth proportional to 14,257.65, 19,675.61 and 7,970.03 is: 10,998.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,257.65 : 19,675.61 = 7,970.03 : x
  2. Step 2: Convert to fraction form
    14,257.65/19,675.61 = 7,970.03/x
  3. Step 3: Cross multiply
    14,257.65x = 19,675.61 × 7,970.03
  4. Step 4: Simplify right side
    14,257.65x = 156,815,063.74
  5. Step 5: Solve for x
    x = 156,815,063.74/14,257.65
  6. Step 6: Final answer
    x = 10,998.66

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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.