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Finding the Fourth Proportional to 19,314, 26,653.44 and 11,356.56

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Solution

The fourth proportional to 19,314, 26,653.44 and 11,356.56 is: 15,672.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,314 : 26,653.44 = 11,356.56 : x
  2. Step 2: Convert to fraction form
    19,314/26,653.44 = 11,356.56/x
  3. Step 3: Cross multiply
    19,314x = 26,653.44 × 11,356.56
  4. Step 4: Simplify right side
    19,314x = 302,691,390.57
  5. Step 5: Solve for x
    x = 302,691,390.57/19,314
  6. Step 6: Final answer
    x = 15,672.12

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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.