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Finding the Fourth Proportional to 24,548.69, 36,823.04 and 7,018.50

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Solution

The fourth proportional to 24,548.69, 36,823.04 and 7,018.50 is: 10,527.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,548.69 : 36,823.04 = 7,018.50 : x
  2. Step 2: Convert to fraction form
    24,548.69/36,823.04 = 7,018.50/x
  3. Step 3: Cross multiply
    24,548.69x = 36,823.04 × 7,018.50
  4. Step 4: Simplify right side
    24,548.69x = 258,442,506.24
  5. Step 5: Solve for x
    x = 258,442,506.24/24,548.69
  6. Step 6: Final answer
    x = 10,527.75

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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.