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Finding the Fourth Proportional to 13,710.72, 20,551.52 and 7,130.32

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Solution

The fourth proportional to 13,710.72, 20,551.52 and 7,130.32 is: 10,687.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710.72 : 20,551.52 = 7,130.32 : x
  2. Step 2: Convert to fraction form
    13,710.72/20,551.52 = 7,130.32/x
  3. Step 3: Cross multiply
    13,710.72x = 20,551.52 × 7,130.32
  4. Step 4: Simplify right side
    13,710.72x = 146,538,914.09
  5. Step 5: Solve for x
    x = 146,538,914.09/13,710.72
  6. Step 6: Final answer
    x = 10,687.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.