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Finding the Fourth Proportional to 15,774.24, 23,660.84 and 6,411.50

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Solution

The fourth proportional to 15,774.24, 23,660.84 and 6,411.50 is: 9,617.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,774.24 : 23,660.84 = 6,411.50 : x
  2. Step 2: Convert to fraction form
    15,774.24/23,660.84 = 6,411.50/x
  3. Step 3: Cross multiply
    15,774.24x = 23,660.84 × 6,411.50
  4. Step 4: Simplify right side
    15,774.24x = 151,701,373.38
  5. Step 5: Solve for x
    x = 151,701,373.38/15,774.24
  6. Step 6: Final answer
    x = 9,617.03

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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.