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Finding the Fourth Proportional to 15,923.94, 23,886.40 and 7,604.84

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Solution

The fourth proportional to 15,923.94, 23,886.40 and 7,604.84 is: 11,407.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,923.94 : 23,886.40 = 7,604.84 : x
  2. Step 2: Convert to fraction form
    15,923.94/23,886.40 = 7,604.84/x
  3. Step 3: Cross multiply
    15,923.94x = 23,886.40 × 7,604.84
  4. Step 4: Simplify right side
    15,923.94x = 181,652,250.18
  5. Step 5: Solve for x
    x = 181,652,250.18/15,923.94
  6. Step 6: Final answer
    x = 11,407.49

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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.