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Finding the Fourth Proportional to 24,506.42, 33,886.71 and 19,461.74

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Solution

The fourth proportional to 24,506.42, 33,886.71 and 19,461.74 is: 26,911.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,506.42 : 33,886.71 = 19,461.74 : x
  2. Step 2: Convert to fraction form
    24,506.42/33,886.71 = 19,461.74/x
  3. Step 3: Cross multiply
    24,506.42x = 33,886.71 × 19,461.74
  4. Step 4: Simplify right side
    24,506.42x = 659,494,170.04
  5. Step 5: Solve for x
    x = 659,494,170.04/24,506.42
  6. Step 6: Final answer
    x = 26,911.08

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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.