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Finding the Fourth Proportional to 11,848.50, 17,773.02 and 9,080.16

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Solution

The fourth proportional to 11,848.50, 17,773.02 and 9,080.16 is: 13,620.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,848.50 : 17,773.02 = 9,080.16 : x
  2. Step 2: Convert to fraction form
    11,848.50/17,773.02 = 9,080.16/x
  3. Step 3: Cross multiply
    11,848.50x = 17,773.02 × 9,080.16
  4. Step 4: Simplify right side
    11,848.50x = 161,381,865.28
  5. Step 5: Solve for x
    x = 161,381,865.28/11,848.50
  6. Step 6: Final answer
    x = 13,620.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.