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Finding the Fourth Proportional to 15,907.60, 23,812.80 and 12,408.40

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Solution

The fourth proportional to 15,907.60, 23,812.80 and 12,408.40 is: 18,574.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,907.60 : 23,812.80 = 12,408.40 : x
  2. Step 2: Convert to fraction form
    15,907.60/23,812.80 = 12,408.40/x
  3. Step 3: Cross multiply
    15,907.60x = 23,812.80 × 12,408.40
  4. Step 4: Simplify right side
    15,907.60x = 295,478,747.52
  5. Step 5: Solve for x
    x = 295,478,747.52/15,907.60
  6. Step 6: Final answer
    x = 18,574.69

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