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Finding the Fourth Proportional to 13,294.98, 19,923.67 and 7,374.47

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Solution

The fourth proportional to 13,294.98, 19,923.67 and 7,374.47 is: 11,051.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,294.98 : 19,923.67 = 7,374.47 : x
  2. Step 2: Convert to fraction form
    13,294.98/19,923.67 = 7,374.47/x
  3. Step 3: Cross multiply
    13,294.98x = 19,923.67 × 7,374.47
  4. Step 4: Simplify right side
    13,294.98x = 146,926,538.08
  5. Step 5: Solve for x
    x = 146,926,538.08/13,294.98
  6. Step 6: Final answer
    x = 11,051.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.