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Finding the Fourth Proportional to 10,496.21, 15,667.52 and 9,250.68

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Solution

The fourth proportional to 10,496.21, 15,667.52 and 9,250.68 is: 13,808.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.21 : 15,667.52 = 9,250.68 : x
  2. Step 2: Convert to fraction form
    10,496.21/15,667.52 = 9,250.68/x
  3. Step 3: Cross multiply
    10,496.21x = 15,667.52 × 9,250.68
  4. Step 4: Simplify right side
    10,496.21x = 144,935,237.04
  5. Step 5: Solve for x
    x = 144,935,237.04/10,496.21
  6. Step 6: Final answer
    x = 13,808.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.