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Finding the Fourth Proportional to 15,173.84, 22,765.08 and 6,407.12

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Solution

The fourth proportional to 15,173.84, 22,765.08 and 6,407.12 is: 9,612.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,173.84 : 22,765.08 = 6,407.12 : x
  2. Step 2: Convert to fraction form
    15,173.84/22,765.08 = 6,407.12/x
  3. Step 3: Cross multiply
    15,173.84x = 22,765.08 × 6,407.12
  4. Step 4: Simplify right side
    15,173.84x = 145,858,599.37
  5. Step 5: Solve for x
    x = 145,858,599.37/15,173.84
  6. Step 6: Final answer
    x = 9,612.50

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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.