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Finding the Fourth Proportional to 13,922.60, 19,213.10 and 7,549.12

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Solution

The fourth proportional to 13,922.60, 19,213.10 and 7,549.12 is: 10,417.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,922.60 : 19,213.10 = 7,549.12 : x
  2. Step 2: Convert to fraction form
    13,922.60/19,213.10 = 7,549.12/x
  3. Step 3: Cross multiply
    13,922.60x = 19,213.10 × 7,549.12
  4. Step 4: Simplify right side
    13,922.60x = 145,042,026.63
  5. Step 5: Solve for x
    x = 145,042,026.63/13,922.60
  6. Step 6: Final answer
    x = 10,417.74

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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.