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Finding the Fourth Proportional to 13,218.54, 19,840.77 and 13,156.98

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Solution

The fourth proportional to 13,218.54, 19,840.77 and 13,156.98 is: 19,748.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,218.54 : 19,840.77 = 13,156.98 : x
  2. Step 2: Convert to fraction form
    13,218.54/19,840.77 = 13,156.98/x
  3. Step 3: Cross multiply
    13,218.54x = 19,840.77 × 13,156.98
  4. Step 4: Simplify right side
    13,218.54x = 261,044,614.07
  5. Step 5: Solve for x
    x = 261,044,614.07/13,218.54
  6. Step 6: Final answer
    x = 19,748.37

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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.