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Finding the Fourth Proportional to 14,014.42, 19,347.82 and 9,305.14

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Solution

The fourth proportional to 14,014.42, 19,347.82 and 9,305.14 is: 12,846.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,014.42 : 19,347.82 = 9,305.14 : x
  2. Step 2: Convert to fraction form
    14,014.42/19,347.82 = 9,305.14/x
  3. Step 3: Cross multiply
    14,014.42x = 19,347.82 × 9,305.14
  4. Step 4: Simplify right side
    14,014.42x = 180,034,173.79
  5. Step 5: Solve for x
    x = 180,034,173.79/14,014.42
  6. Step 6: Final answer
    x = 12,846.35

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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.