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Finding the Fourth Proportional to 12,426, 17,147.88 and 7,458

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Solution

The fourth proportional to 12,426, 17,147.88 and 7,458 is: 10,292.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,426 : 17,147.88 = 7,458 : x
  2. Step 2: Convert to fraction form
    12,426/17,147.88 = 7,458/x
  3. Step 3: Cross multiply
    12,426x = 17,147.88 × 7,458
  4. Step 4: Simplify right side
    12,426x = 127,888,889.04
  5. Step 5: Solve for x
    x = 127,888,889.04/12,426
  6. Step 6: Final answer
    x = 10,292.04

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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.