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Finding the Fourth Proportional to 15,914.34, 23,873.94 and 7,594.02

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Solution

The fourth proportional to 15,914.34, 23,873.94 and 7,594.02 is: 11,392.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,914.34 : 23,873.94 = 7,594.02 : x
  2. Step 2: Convert to fraction form
    15,914.34/23,873.94 = 7,594.02/x
  3. Step 3: Cross multiply
    15,914.34x = 23,873.94 × 7,594.02
  4. Step 4: Simplify right side
    15,914.34x = 181,299,177.84
  5. Step 5: Solve for x
    x = 181,299,177.84/15,914.34
  6. Step 6: Final answer
    x = 11,392.19

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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.