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Finding the Fourth Proportional to 24,347.61, 33,597.86 and 13,738.23

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Solution

The fourth proportional to 24,347.61, 33,597.86 and 13,738.23 is: 18,957.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,347.61 : 33,597.86 = 13,738.23 : x
  2. Step 2: Convert to fraction form
    24,347.61/33,597.86 = 13,738.23/x
  3. Step 3: Cross multiply
    24,347.61x = 33,597.86 × 13,738.23
  4. Step 4: Simplify right side
    24,347.61x = 461,575,059.50
  5. Step 5: Solve for x
    x = 461,575,059.50/24,347.61
  6. Step 6: Final answer
    x = 18,957.72

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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.