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Finding the Fourth Proportional to 14,148.47, 19,524.85 and 7,860.85

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Solution

The fourth proportional to 14,148.47, 19,524.85 and 7,860.85 is: 10,847.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,148.47 : 19,524.85 = 7,860.85 : x
  2. Step 2: Convert to fraction form
    14,148.47/19,524.85 = 7,860.85/x
  3. Step 3: Cross multiply
    14,148.47x = 19,524.85 × 7,860.85
  4. Step 4: Simplify right side
    14,148.47x = 153,481,848.66
  5. Step 5: Solve for x
    x = 153,481,848.66/14,148.47
  6. Step 6: Final answer
    x = 10,847.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.