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Finding the Fourth Proportional to 13,182.48, 19,756.31 and 7,900.47

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Solution

The fourth proportional to 13,182.48, 19,756.31 and 7,900.47 is: 11,840.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,182.48 : 19,756.31 = 7,900.47 : x
  2. Step 2: Convert to fraction form
    13,182.48/19,756.31 = 7,900.47/x
  3. Step 3: Cross multiply
    13,182.48x = 19,756.31 × 7,900.47
  4. Step 4: Simplify right side
    13,182.48x = 156,084,094.96
  5. Step 5: Solve for x
    x = 156,084,094.96/13,182.48
  6. Step 6: Final answer
    x = 11,840.27

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