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Finding the Fourth Proportional to 19,575.98, 29,364.93 and 6,432.14

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Solution

The fourth proportional to 19,575.98, 29,364.93 and 6,432.14 is: 9,648.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,575.98 : 29,364.93 = 6,432.14 : x
  2. Step 2: Convert to fraction form
    19,575.98/29,364.93 = 6,432.14/x
  3. Step 3: Cross multiply
    19,575.98x = 29,364.93 × 6,432.14
  4. Step 4: Simplify right side
    19,575.98x = 188,879,340.85
  5. Step 5: Solve for x
    x = 188,879,340.85/19,575.98
  6. Step 6: Final answer
    x = 9,648.53

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