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Finding the Fourth Proportional to 23,427.50, 35,140.34 and 10,280

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Solution

The fourth proportional to 23,427.50, 35,140.34 and 10,280 is: 15,419.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,427.50 : 35,140.34 = 10,280 : x
  2. Step 2: Convert to fraction form
    23,427.50/35,140.34 = 10,280/x
  3. Step 3: Cross multiply
    23,427.50x = 35,140.34 × 10,280
  4. Step 4: Simplify right side
    23,427.50x = 361,242,695.20
  5. Step 5: Solve for x
    x = 361,242,695.20/23,427.50
  6. Step 6: Final answer
    x = 15,419.60

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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.