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Finding the Fourth Proportional to 15,913.70, 23,871.02 and 7,594.59

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Solution

The fourth proportional to 15,913.70, 23,871.02 and 7,594.59 is: 11,392.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,913.70 : 23,871.02 = 7,594.59 : x
  2. Step 2: Convert to fraction form
    15,913.70/23,871.02 = 7,594.59/x
  3. Step 3: Cross multiply
    15,913.70x = 23,871.02 × 7,594.59
  4. Step 4: Simplify right side
    15,913.70x = 181,290,571.81
  5. Step 5: Solve for x
    x = 181,290,571.81/15,913.70
  6. Step 6: Final answer
    x = 11,392.11

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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.