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Finding the Fourth Proportional to 14,253, 19,669.14 and 7,965.96

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Solution

The fourth proportional to 14,253, 19,669.14 and 7,965.96 is: 10,993.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,253 : 19,669.14 = 7,965.96 : x
  2. Step 2: Convert to fraction form
    14,253/19,669.14 = 7,965.96/x
  3. Step 3: Cross multiply
    14,253x = 19,669.14 × 7,965.96
  4. Step 4: Simplify right side
    14,253x = 156,683,582.47
  5. Step 5: Solve for x
    x = 156,683,582.47/14,253
  6. Step 6: Final answer
    x = 10,993.02

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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.