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Finding the Fourth Proportional to 13,907.64, 19,209.40 and 10,124.82

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Solution

The fourth proportional to 13,907.64, 19,209.40 and 10,124.82 is: 13,984.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907.64 : 19,209.40 = 10,124.82 : x
  2. Step 2: Convert to fraction form
    13,907.64/19,209.40 = 10,124.82/x
  3. Step 3: Cross multiply
    13,907.64x = 19,209.40 × 10,124.82
  4. Step 4: Simplify right side
    13,907.64x = 194,491,717.31
  5. Step 5: Solve for x
    x = 194,491,717.31/13,907.64
  6. Step 6: Final answer
    x = 13,984.52

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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.