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Finding the Fourth Proportional to 14,184.96, 19,575.21 and 7,898.82

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Solution

The fourth proportional to 14,184.96, 19,575.21 and 7,898.82 is: 10,900.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,184.96 : 19,575.21 = 7,898.82 : x
  2. Step 2: Convert to fraction form
    14,184.96/19,575.21 = 7,898.82/x
  3. Step 3: Cross multiply
    14,184.96x = 19,575.21 × 7,898.82
  4. Step 4: Simplify right side
    14,184.96x = 154,621,060.25
  5. Step 5: Solve for x
    x = 154,621,060.25/14,184.96
  6. Step 6: Final answer
    x = 10,900.35

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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.