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Finding the Fourth Proportional to 26,830.71, 37,023.08 and 14,892.39

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Solution

The fourth proportional to 26,830.71, 37,023.08 and 14,892.39 is: 20,549.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,830.71 : 37,023.08 = 14,892.39 : x
  2. Step 2: Convert to fraction form
    26,830.71/37,023.08 = 14,892.39/x
  3. Step 3: Cross multiply
    26,830.71x = 37,023.08 × 14,892.39
  4. Step 4: Simplify right side
    26,830.71x = 551,362,071.90
  5. Step 5: Solve for x
    x = 551,362,071.90/26,830.71
  6. Step 6: Final answer
    x = 20,549.66

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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.