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Finding the Fourth Proportional to 11,516.02, 17,189.95 and 9,883.06

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Solution

The fourth proportional to 11,516.02, 17,189.95 and 9,883.06 is: 14,752.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,516.02 : 17,189.95 = 9,883.06 : x
  2. Step 2: Convert to fraction form
    11,516.02/17,189.95 = 9,883.06/x
  3. Step 3: Cross multiply
    11,516.02x = 17,189.95 × 9,883.06
  4. Step 4: Simplify right side
    11,516.02x = 169,889,307.25
  5. Step 5: Solve for x
    x = 169,889,307.25/11,516.02
  6. Step 6: Final answer
    x = 14,752.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.