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Finding the Fourth Proportional to 14,136, 19,507.68 and 7,849.68

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Solution

The fourth proportional to 14,136, 19,507.68 and 7,849.68 is: 10,832.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,136 : 19,507.68 = 7,849.68 : x
  2. Step 2: Convert to fraction form
    14,136/19,507.68 = 7,849.68/x
  3. Step 3: Cross multiply
    14,136x = 19,507.68 × 7,849.68
  4. Step 4: Simplify right side
    14,136x = 153,129,045.54
  5. Step 5: Solve for x
    x = 153,129,045.54/14,136
  6. Step 6: Final answer
    x = 10,832.56

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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.