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Finding the Fourth Proportional to 13,965.17, 19,271.99 and 7,677.59

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Solution

The fourth proportional to 13,965.17, 19,271.99 and 7,677.59 is: 10,595.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,965.17 : 19,271.99 = 7,677.59 : x
  2. Step 2: Convert to fraction form
    13,965.17/19,271.99 = 7,677.59/x
  3. Step 3: Cross multiply
    13,965.17x = 19,271.99 × 7,677.59
  4. Step 4: Simplify right side
    13,965.17x = 147,962,437.70
  5. Step 5: Solve for x
    x = 147,962,437.70/13,965.17
  6. Step 6: Final answer
    x = 10,595.10

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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.