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Finding the Fourth Proportional to 23,198.19, 32,013.53 and 12,588

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Solution

The fourth proportional to 23,198.19, 32,013.53 and 12,588 is: 17,371.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,198.19 : 32,013.53 = 12,588 : x
  2. Step 2: Convert to fraction form
    23,198.19/32,013.53 = 12,588/x
  3. Step 3: Cross multiply
    23,198.19x = 32,013.53 × 12,588
  4. Step 4: Simplify right side
    23,198.19x = 402,986,315.64
  5. Step 5: Solve for x
    x = 402,986,315.64/23,198.19
  6. Step 6: Final answer
    x = 17,371.46

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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.