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Finding the Fourth Proportional to 13,952.61, 19,254.29 and 7,664.85

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Solution

The fourth proportional to 13,952.61, 19,254.29 and 7,664.85 is: 10,577.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,952.61 : 19,254.29 = 7,664.85 : x
  2. Step 2: Convert to fraction form
    13,952.61/19,254.29 = 7,664.85/x
  3. Step 3: Cross multiply
    13,952.61x = 19,254.29 × 7,664.85
  4. Step 4: Simplify right side
    13,952.61x = 147,581,206.38
  5. Step 5: Solve for x
    x = 147,581,206.38/13,952.61
  6. Step 6: Final answer
    x = 10,577.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.