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Finding the Fourth Proportional to 13,952.30, 19,254.30 and 7,664.67

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Solution

The fourth proportional to 13,952.30, 19,254.30 and 7,664.67 is: 10,577.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,952.30 : 19,254.30 = 7,664.67 : x
  2. Step 2: Convert to fraction form
    13,952.30/19,254.30 = 7,664.67/x
  3. Step 3: Cross multiply
    13,952.30x = 19,254.30 × 7,664.67
  4. Step 4: Simplify right side
    13,952.30x = 147,577,855.58
  5. Step 5: Solve for x
    x = 147,577,855.58/13,952.30
  6. Step 6: Final answer
    x = 10,577.31

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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.