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Finding the Fourth Proportional to 16,655.81, 22,974.13 and 10,678.01

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Solution

The fourth proportional to 16,655.81, 22,974.13 and 10,678.01 is: 14,728.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,655.81 : 22,974.13 = 10,678.01 : x
  2. Step 2: Convert to fraction form
    16,655.81/22,974.13 = 10,678.01/x
  3. Step 3: Cross multiply
    16,655.81x = 22,974.13 × 10,678.01
  4. Step 4: Simplify right side
    16,655.81x = 245,317,989.88
  5. Step 5: Solve for x
    x = 245,317,989.88/16,655.81
  6. Step 6: Final answer
    x = 14,728.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.