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Finding the Fourth Proportional to 14,142.85, 19,518.02 and 7,855.21

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Solution

The fourth proportional to 14,142.85, 19,518.02 and 7,855.21 is: 10,840.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,142.85 : 19,518.02 = 7,855.21 : x
  2. Step 2: Convert to fraction form
    14,142.85/19,518.02 = 7,855.21/x
  3. Step 3: Cross multiply
    14,142.85x = 19,518.02 × 7,855.21
  4. Step 4: Simplify right side
    14,142.85x = 153,318,106.61
  5. Step 5: Solve for x
    x = 153,318,106.61/14,142.85
  6. Step 6: Final answer
    x = 10,840.68

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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.