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Finding the Fourth Proportional to 15,905.90, 23,822.40 and 15,541.40

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Solution

The fourth proportional to 15,905.90, 23,822.40 and 15,541.40 is: 23,276.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,905.90 : 23,822.40 = 15,541.40 : x
  2. Step 2: Convert to fraction form
    15,905.90/23,822.40 = 15,541.40/x
  3. Step 3: Cross multiply
    15,905.90x = 23,822.40 × 15,541.40
  4. Step 4: Simplify right side
    15,905.90x = 370,233,447.36
  5. Step 5: Solve for x
    x = 370,233,447.36/15,905.90
  6. Step 6: Final answer
    x = 23,276.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.