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Finding the Fourth Proportional to 14,861, 22,301.74 and 5,133

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Solution

The fourth proportional to 14,861, 22,301.74 and 5,133 is: 7,703.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,861 : 22,301.74 = 5,133 : x
  2. Step 2: Convert to fraction form
    14,861/22,301.74 = 5,133/x
  3. Step 3: Cross multiply
    14,861x = 22,301.74 × 5,133
  4. Step 4: Simplify right side
    14,861x = 114,474,831.42
  5. Step 5: Solve for x
    x = 114,474,831.42/14,861
  6. Step 6: Final answer
    x = 7,703.04

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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.