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Finding the Fourth Proportional to 14,407.88, 19,899.27 and 9,683.96

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Solution

The fourth proportional to 14,407.88, 19,899.27 and 9,683.96 is: 13,374.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,407.88 : 19,899.27 = 9,683.96 : x
  2. Step 2: Convert to fraction form
    14,407.88/19,899.27 = 9,683.96/x
  3. Step 3: Cross multiply
    14,407.88x = 19,899.27 × 9,683.96
  4. Step 4: Simplify right side
    14,407.88x = 192,703,635.21
  5. Step 5: Solve for x
    x = 192,703,635.21/14,407.88
  6. Step 6: Final answer
    x = 13,374.88

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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.