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Finding the Fourth Proportional to 23,634.63, 32,616.50 and 13,024.95

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Solution

The fourth proportional to 23,634.63, 32,616.50 and 13,024.95 is: 17,974.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,634.63 : 32,616.50 = 13,024.95 : x
  2. Step 2: Convert to fraction form
    23,634.63/32,616.50 = 13,024.95/x
  3. Step 3: Cross multiply
    23,634.63x = 32,616.50 × 13,024.95
  4. Step 4: Simplify right side
    23,634.63x = 424,828,094.24
  5. Step 5: Solve for x
    x = 424,828,094.24/23,634.63
  6. Step 6: Final answer
    x = 17,974.81

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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.