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Finding the Fourth Proportional to 24,316.54, 36,477.83 and 7,674.12

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Solution

The fourth proportional to 24,316.54, 36,477.83 and 7,674.12 is: 11,512.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,316.54 : 36,477.83 = 7,674.12 : x
  2. Step 2: Convert to fraction form
    24,316.54/36,477.83 = 7,674.12/x
  3. Step 3: Cross multiply
    24,316.54x = 36,477.83 × 7,674.12
  4. Step 4: Simplify right side
    24,316.54x = 279,935,263.94
  5. Step 5: Solve for x
    x = 279,935,263.94/24,316.54
  6. Step 6: Final answer
    x = 11,512.14

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1.5x scale

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.