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Finding the Fourth Proportional to 13,970.48, 19,278.71 and 8,522.11

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Solution

The fourth proportional to 13,970.48, 19,278.71 and 8,522.11 is: 11,760.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,970.48 : 19,278.71 = 8,522.11 : x
  2. Step 2: Convert to fraction form
    13,970.48/19,278.71 = 8,522.11/x
  3. Step 3: Cross multiply
    13,970.48x = 19,278.71 × 8,522.11
  4. Step 4: Simplify right side
    13,970.48x = 164,295,300.72
  5. Step 5: Solve for x
    x = 164,295,300.72/13,970.48
  6. Step 6: Final answer
    x = 11,760.18

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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.