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Finding the Fourth Proportional to 21,090, 29,101.68 and 11,657.28

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Solution

The fourth proportional to 21,090, 29,101.68 and 11,657.28 is: 16,085.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,090 : 29,101.68 = 11,657.28 : x
  2. Step 2: Convert to fraction form
    21,090/29,101.68 = 11,657.28/x
  3. Step 3: Cross multiply
    21,090x = 29,101.68 × 11,657.28
  4. Step 4: Simplify right side
    21,090x = 339,246,432.23
  5. Step 5: Solve for x
    x = 339,246,432.23/21,090
  6. Step 6: Final answer
    x = 16,085.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.