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Finding the Fourth Proportional to 14,235.16, 19,650.31 and 9,199.79

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Solution

The fourth proportional to 14,235.16, 19,650.31 and 9,199.79 is: 12,699.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,235.16 : 19,650.31 = 9,199.79 : x
  2. Step 2: Convert to fraction form
    14,235.16/19,650.31 = 9,199.79/x
  3. Step 3: Cross multiply
    14,235.16x = 19,650.31 × 9,199.79
  4. Step 4: Simplify right side
    14,235.16x = 180,778,725.43
  5. Step 5: Solve for x
    x = 180,778,725.43/14,235.16
  6. Step 6: Final answer
    x = 12,699.45

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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.