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Finding the Fourth Proportional to 19,239, 26,549.82 and 10,407

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Solution

The fourth proportional to 19,239, 26,549.82 and 10,407 is: 14,361.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,239 : 26,549.82 = 10,407 : x
  2. Step 2: Convert to fraction form
    19,239/26,549.82 = 10,407/x
  3. Step 3: Cross multiply
    19,239x = 26,549.82 × 10,407
  4. Step 4: Simplify right side
    19,239x = 276,303,976.74
  5. Step 5: Solve for x
    x = 276,303,976.74/19,239
  6. Step 6: Final answer
    x = 14,361.66

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