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Finding the Fourth Proportional to 26,281, 36,268.56 and 14,345.10

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Solution

The fourth proportional to 26,281, 36,268.56 and 14,345.10 is: 19,796.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,281 : 36,268.56 = 14,345.10 : x
  2. Step 2: Convert to fraction form
    26,281/36,268.56 = 14,345.10/x
  3. Step 3: Cross multiply
    26,281x = 36,268.56 × 14,345.10
  4. Step 4: Simplify right side
    26,281x = 520,276,120.06
  5. Step 5: Solve for x
    x = 520,276,120.06/26,281
  6. Step 6: Final answer
    x = 19,796.66

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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.