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Finding the Fourth Proportional to 13,846.30, 19,107.74 and 7,558.68

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Solution

The fourth proportional to 13,846.30, 19,107.74 and 7,558.68 is: 10,430.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,846.30 : 19,107.74 = 7,558.68 : x
  2. Step 2: Convert to fraction form
    13,846.30/19,107.74 = 7,558.68/x
  3. Step 3: Cross multiply
    13,846.30x = 19,107.74 × 7,558.68
  4. Step 4: Simplify right side
    13,846.30x = 144,429,292.18
  5. Step 5: Solve for x
    x = 144,429,292.18/13,846.30
  6. Step 6: Final answer
    x = 10,430.89

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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.