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Finding the Fourth Proportional to 21,632.40, 32,454 and 6,049.89

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Solution

The fourth proportional to 21,632.40, 32,454 and 6,049.89 is: 9,076.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,632.40 : 32,454 = 6,049.89 : x
  2. Step 2: Convert to fraction form
    21,632.40/32,454 = 6,049.89/x
  3. Step 3: Cross multiply
    21,632.40x = 32,454 × 6,049.89
  4. Step 4: Simplify right side
    21,632.40x = 196,343,130.06
  5. Step 5: Solve for x
    x = 196,343,130.06/21,632.40
  6. Step 6: Final answer
    x = 9,076.35

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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.