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Finding the Fourth Proportional to 15,374.78, 23,050.34 and 7,048.80

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Solution

The fourth proportional to 15,374.78, 23,050.34 and 7,048.80 is: 10,567.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,374.78 : 23,050.34 = 7,048.80 : x
  2. Step 2: Convert to fraction form
    15,374.78/23,050.34 = 7,048.80/x
  3. Step 3: Cross multiply
    15,374.78x = 23,050.34 × 7,048.80
  4. Step 4: Simplify right side
    15,374.78x = 162,477,236.59
  5. Step 5: Solve for x
    x = 162,477,236.59/15,374.78
  6. Step 6: Final answer
    x = 10,567.78

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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.