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Finding the Fourth Proportional to 13,294.58, 19,923.05 and 7,374.07

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Solution

The fourth proportional to 13,294.58, 19,923.05 and 7,374.07 is: 11,050.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,294.58 : 19,923.05 = 7,374.07 : x
  2. Step 2: Convert to fraction form
    13,294.58/19,923.05 = 7,374.07/x
  3. Step 3: Cross multiply
    13,294.58x = 19,923.05 × 7,374.07
  4. Step 4: Simplify right side
    13,294.58x = 146,913,965.31
  5. Step 5: Solve for x
    x = 146,913,965.31/13,294.58
  6. Step 6: Final answer
    x = 11,050.67

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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.