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Finding the Fourth Proportional to 14,149.69, 19,539.93 and 9,122.93

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Solution

The fourth proportional to 14,149.69, 19,539.93 and 9,122.93 is: 12,598.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,149.69 : 19,539.93 = 9,122.93 : x
  2. Step 2: Convert to fraction form
    14,149.69/19,539.93 = 9,122.93/x
  3. Step 3: Cross multiply
    14,149.69x = 19,539.93 × 9,122.93
  4. Step 4: Simplify right side
    14,149.69x = 178,261,423.38
  5. Step 5: Solve for x
    x = 178,261,423.38/14,149.69
  6. Step 6: Final answer
    x = 12,598.26

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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.