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Finding the Fourth Proportional to 14,416.89, 19,887.15 and 9,102.48

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Solution

The fourth proportional to 14,416.89, 19,887.15 and 9,102.48 is: 12,556.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,416.89 : 19,887.15 = 9,102.48 : x
  2. Step 2: Convert to fraction form
    14,416.89/19,887.15 = 9,102.48/x
  3. Step 3: Cross multiply
    14,416.89x = 19,887.15 × 9,102.48
  4. Step 4: Simplify right side
    14,416.89x = 181,022,385.13
  5. Step 5: Solve for x
    x = 181,022,385.13/14,416.89
  6. Step 6: Final answer
    x = 12,556.27

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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.