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Finding the Fourth Proportional to 14,193.51, 19,576.94 and 9,717.45

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Solution

The fourth proportional to 14,193.51, 19,576.94 and 9,717.45 is: 13,403.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,193.51 : 19,576.94 = 9,717.45 : x
  2. Step 2: Convert to fraction form
    14,193.51/19,576.94 = 9,717.45/x
  3. Step 3: Cross multiply
    14,193.51x = 19,576.94 × 9,717.45
  4. Step 4: Simplify right side
    14,193.51x = 190,237,887.02
  5. Step 5: Solve for x
    x = 190,237,887.02/14,193.51
  6. Step 6: Final answer
    x = 13,403.16

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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.