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Finding the Fourth Proportional to 23,089.74, 31,859.76 and 13,018.18

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Solution

The fourth proportional to 23,089.74, 31,859.76 and 13,018.18 is: 17,962.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,089.74 : 31,859.76 = 13,018.18 : x
  2. Step 2: Convert to fraction form
    23,089.74/31,859.76 = 13,018.18/x
  3. Step 3: Cross multiply
    23,089.74x = 31,859.76 × 13,018.18
  4. Step 4: Simplify right side
    23,089.74x = 414,756,090.44
  5. Step 5: Solve for x
    x = 414,756,090.44/23,089.74
  6. Step 6: Final answer
    x = 17,962.79

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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.