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Finding the Fourth Proportional to 15,674.94, 23,507.37 and 5,142.11

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Solution

The fourth proportional to 15,674.94, 23,507.37 and 5,142.11 is: 7,711.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,674.94 : 23,507.37 = 5,142.11 : x
  2. Step 2: Convert to fraction form
    15,674.94/23,507.37 = 5,142.11/x
  3. Step 3: Cross multiply
    15,674.94x = 23,507.37 × 5,142.11
  4. Step 4: Simplify right side
    15,674.94x = 120,877,364.81
  5. Step 5: Solve for x
    x = 120,877,364.81/15,674.94
  6. Step 6: Final answer
    x = 7,711.50

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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.