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Finding the Fourth Proportional to 17,735.20, 24,470.16 and 11,440

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Solution

The fourth proportional to 17,735.20, 24,470.16 and 11,440 is: 15,784.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,735.20 : 24,470.16 = 11,440 : x
  2. Step 2: Convert to fraction form
    17,735.20/24,470.16 = 11,440/x
  3. Step 3: Cross multiply
    17,735.20x = 24,470.16 × 11,440
  4. Step 4: Simplify right side
    17,735.20x = 279,938,630.40
  5. Step 5: Solve for x
    x = 279,938,630.40/17,735.20
  6. Step 6: Final answer
    x = 15,784.35

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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.