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Finding the Fourth Proportional to 23,198.61, 32,013.93 and 12,588.01

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Solution

The fourth proportional to 23,198.61, 32,013.93 and 12,588.01 is: 17,371.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,198.61 : 32,013.93 = 12,588.01 : x
  2. Step 2: Convert to fraction form
    23,198.61/32,013.93 = 12,588.01/x
  3. Step 3: Cross multiply
    23,198.61x = 32,013.93 × 12,588.01
  4. Step 4: Simplify right side
    23,198.61x = 402,991,670.98
  5. Step 5: Solve for x
    x = 402,991,670.98/23,198.61
  6. Step 6: Final answer
    x = 17,371.37

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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.