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Finding the Fourth Proportional to 15,913.70, 23,871.02 and 7,594.60

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Solution

The fourth proportional to 15,913.70, 23,871.02 and 7,594.60 is: 11,392.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,913.70 : 23,871.02 = 7,594.60 : x
  2. Step 2: Convert to fraction form
    15,913.70/23,871.02 = 7,594.60/x
  3. Step 3: Cross multiply
    15,913.70x = 23,871.02 × 7,594.60
  4. Step 4: Simplify right side
    15,913.70x = 181,290,848.49
  5. Step 5: Solve for x
    x = 181,290,848.49/15,913.70
  6. Step 6: Final answer
    x = 11,392.12

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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.