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Finding the Fourth Proportional to 24,195, 33,386.40 and 13,583.16

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Solution

The fourth proportional to 24,195, 33,386.40 and 13,583.16 is: 18,743.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,195 : 33,386.40 = 13,583.16 : x
  2. Step 2: Convert to fraction form
    24,195/33,386.40 = 13,583.16/x
  3. Step 3: Cross multiply
    24,195x = 33,386.40 × 13,583.16
  4. Step 4: Simplify right side
    24,195x = 453,492,813.02
  5. Step 5: Solve for x
    x = 453,492,813.02/24,195
  6. Step 6: Final answer
    x = 18,743.25

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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.