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Finding the Fourth Proportional to 13,950.85, 19,252.38 and 7,577.47

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Solution

The fourth proportional to 13,950.85, 19,252.38 and 7,577.47 is: 10,457.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,950.85 : 19,252.38 = 7,577.47 : x
  2. Step 2: Convert to fraction form
    13,950.85/19,252.38 = 7,577.47/x
  3. Step 3: Cross multiply
    13,950.85x = 19,252.38 × 7,577.47
  4. Step 4: Simplify right side
    13,950.85x = 145,884,331.88
  5. Step 5: Solve for x
    x = 145,884,331.88/13,950.85
  6. Step 6: Final answer
    x = 10,457.02

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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.