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Finding the Fourth Proportional to 24,270.96, 36,406.44 and 16,460.40

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Solution

The fourth proportional to 24,270.96, 36,406.44 and 16,460.40 is: 24,690.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,270.96 : 36,406.44 = 16,460.40 : x
  2. Step 2: Convert to fraction form
    24,270.96/36,406.44 = 16,460.40/x
  3. Step 3: Cross multiply
    24,270.96x = 36,406.44 × 16,460.40
  4. Step 4: Simplify right side
    24,270.96x = 599,264,564.98
  5. Step 5: Solve for x
    x = 599,264,564.98/24,270.96
  6. Step 6: Final answer
    x = 24,690.60

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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.