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Finding the Fourth Proportional to 15,527.16, 23,294.34 and 4,434

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Solution

The fourth proportional to 15,527.16, 23,294.34 and 4,434 is: 6,652.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,527.16 : 23,294.34 = 4,434 : x
  2. Step 2: Convert to fraction form
    15,527.16/23,294.34 = 4,434/x
  3. Step 3: Cross multiply
    15,527.16x = 23,294.34 × 4,434
  4. Step 4: Simplify right side
    15,527.16x = 103,287,103.56
  5. Step 5: Solve for x
    x = 103,287,103.56/15,527.16
  6. Step 6: Final answer
    x = 6,652.03

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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.