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Finding the Fourth Proportional to 14,113.48, 19,476.50 and 7,825.88

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Solution

The fourth proportional to 14,113.48, 19,476.50 and 7,825.88 is: 10,799.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,113.48 : 19,476.50 = 7,825.88 : x
  2. Step 2: Convert to fraction form
    14,113.48/19,476.50 = 7,825.88/x
  3. Step 3: Cross multiply
    14,113.48x = 19,476.50 × 7,825.88
  4. Step 4: Simplify right side
    14,113.48x = 152,420,751.82
  5. Step 5: Solve for x
    x = 152,420,751.82/14,113.48
  6. Step 6: Final answer
    x = 10,799.66

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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.