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Finding the Fourth Proportional to 15,907.90, 23,825.40 and 15,543.40

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Solution

The fourth proportional to 15,907.90, 23,825.40 and 15,543.40 is: 23,279.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,907.90 : 23,825.40 = 15,543.40 : x
  2. Step 2: Convert to fraction form
    15,907.90/23,825.40 = 15,543.40/x
  3. Step 3: Cross multiply
    15,907.90x = 23,825.40 × 15,543.40
  4. Step 4: Simplify right side
    15,907.90x = 370,327,722.36
  5. Step 5: Solve for x
    x = 370,327,722.36/15,907.90
  6. Step 6: Final answer
    x = 23,279.49

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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.