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Finding the Fourth Proportional to 24,102.88, 36,147 and 14,239.50

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Solution

The fourth proportional to 24,102.88, 36,147 and 14,239.50 is: 21,354.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,102.88 : 36,147 = 14,239.50 : x
  2. Step 2: Convert to fraction form
    24,102.88/36,147 = 14,239.50/x
  3. Step 3: Cross multiply
    24,102.88x = 36,147 × 14,239.50
  4. Step 4: Simplify right side
    24,102.88x = 514,715,206.50
  5. Step 5: Solve for x
    x = 514,715,206.50/24,102.88
  6. Step 6: Final answer
    x = 21,354.93

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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.