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Finding the Fourth Proportional to 14,087.98, 19,442.73 and 7,802.38

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Solution

The fourth proportional to 14,087.98, 19,442.73 and 7,802.38 is: 10,768.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,087.98 : 19,442.73 = 7,802.38 : x
  2. Step 2: Convert to fraction form
    14,087.98/19,442.73 = 7,802.38/x
  3. Step 3: Cross multiply
    14,087.98x = 19,442.73 × 7,802.38
  4. Step 4: Simplify right side
    14,087.98x = 151,699,567.70
  5. Step 5: Solve for x
    x = 151,699,567.70/14,087.98
  6. Step 6: Final answer
    x = 10,768.01

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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.