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Finding the Fourth Proportional to 13,972.80, 19,282 and 7,685.16

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Solution

The fourth proportional to 13,972.80, 19,282 and 7,685.16 is: 10,605.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,972.80 : 19,282 = 7,685.16 : x
  2. Step 2: Convert to fraction form
    13,972.80/19,282 = 7,685.16/x
  3. Step 3: Cross multiply
    13,972.80x = 19,282 × 7,685.16
  4. Step 4: Simplify right side
    13,972.80x = 148,185,255.12
  5. Step 5: Solve for x
    x = 148,185,255.12/13,972.80
  6. Step 6: Final answer
    x = 10,605.27

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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.