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Finding the Fourth Proportional to 14,400, 21,602.16 and 5,042.52

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Solution

The fourth proportional to 14,400, 21,602.16 and 5,042.52 is: 7,564.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,400 : 21,602.16 = 5,042.52 : x
  2. Step 2: Convert to fraction form
    14,400/21,602.16 = 5,042.52/x
  3. Step 3: Cross multiply
    14,400x = 21,602.16 × 5,042.52
  4. Step 4: Simplify right side
    14,400x = 108,929,323.84
  5. Step 5: Solve for x
    x = 108,929,323.84/14,400
  6. Step 6: Final answer
    x = 7,564.54

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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.