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Finding the Fourth Proportional to 14,267.80, 19,689.45 and 7,980.17

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Solution

The fourth proportional to 14,267.80, 19,689.45 and 7,980.17 is: 11,012.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,267.80 : 19,689.45 = 7,980.17 : x
  2. Step 2: Convert to fraction form
    14,267.80/19,689.45 = 7,980.17/x
  3. Step 3: Cross multiply
    14,267.80x = 19,689.45 × 7,980.17
  4. Step 4: Simplify right side
    14,267.80x = 157,125,158.21
  5. Step 5: Solve for x
    x = 157,125,158.21/14,267.80
  6. Step 6: Final answer
    x = 11,012.57

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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.