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Finding the Fourth Proportional to 13,953.84, 19,256.32 and 7,580.32

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Solution

The fourth proportional to 13,953.84, 19,256.32 and 7,580.32 is: 10,460.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,953.84 : 19,256.32 = 7,580.32 : x
  2. Step 2: Convert to fraction form
    13,953.84/19,256.32 = 7,580.32/x
  3. Step 3: Cross multiply
    13,953.84x = 19,256.32 × 7,580.32
  4. Step 4: Simplify right side
    13,953.84x = 145,969,067.62
  5. Step 5: Solve for x
    x = 145,969,067.62/13,953.84
  6. Step 6: Final answer
    x = 10,460.85

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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.