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Finding the Fourth Proportional to 28,020, 42,035.76 and 11,604

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Solution

The fourth proportional to 28,020, 42,035.76 and 11,604 is: 17,408.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,020 : 42,035.76 = 11,604 : x
  2. Step 2: Convert to fraction form
    28,020/42,035.76 = 11,604/x
  3. Step 3: Cross multiply
    28,020x = 42,035.76 × 11,604
  4. Step 4: Simplify right side
    28,020x = 487,782,959.04
  5. Step 5: Solve for x
    x = 487,782,959.04/28,020
  6. Step 6: Final answer
    x = 17,408.39

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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.