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Finding the Fourth Proportional to 13,972.50, 19,282.05 and 7,685.01

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Solution

The fourth proportional to 13,972.50, 19,282.05 and 7,685.01 is: 10,605.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,972.50 : 19,282.05 = 7,685.01 : x
  2. Step 2: Convert to fraction form
    13,972.50/19,282.05 = 7,685.01/x
  3. Step 3: Cross multiply
    13,972.50x = 19,282.05 × 7,685.01
  4. Step 4: Simplify right side
    13,972.50x = 148,182,747.07
  5. Step 5: Solve for x
    x = 148,182,747.07/13,972.50
  6. Step 6: Final answer
    x = 10,605.31

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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.