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Finding the Fourth Proportional to 23,634.58, 32,615.93 and 13,024.59

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Solution

The fourth proportional to 23,634.58, 32,615.93 and 13,024.59 is: 17,974.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,634.58 : 32,615.93 = 13,024.59 : x
  2. Step 2: Convert to fraction form
    23,634.58/32,615.93 = 13,024.59/x
  3. Step 3: Cross multiply
    23,634.58x = 32,615.93 × 13,024.59
  4. Step 4: Simplify right side
    23,634.58x = 424,808,952.64
  5. Step 5: Solve for x
    x = 424,808,952.64/23,634.58
  6. Step 6: Final answer
    x = 17,974.05

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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.