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Finding the Fourth Proportional to 13,952.70, 19,254.51 and 7,664.94

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Solution

The fourth proportional to 13,952.70, 19,254.51 and 7,664.94 is: 10,577.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,952.70 : 19,254.51 = 7,664.94 : x
  2. Step 2: Convert to fraction form
    13,952.70/19,254.51 = 7,664.94/x
  3. Step 3: Cross multiply
    13,952.70x = 19,254.51 × 7,664.94
  4. Step 4: Simplify right side
    13,952.70x = 147,584,663.88
  5. Step 5: Solve for x
    x = 147,584,663.88/13,952.70
  6. Step 6: Final answer
    x = 10,577.50

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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.