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Finding the Fourth Proportional to 14,264.84, 19,686.39 and 7,977.26

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Solution

The fourth proportional to 14,264.84, 19,686.39 and 7,977.26 is: 11,009.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,264.84 : 19,686.39 = 7,977.26 : x
  2. Step 2: Convert to fraction form
    14,264.84/19,686.39 = 7,977.26/x
  3. Step 3: Cross multiply
    14,264.84x = 19,686.39 × 7,977.26
  4. Step 4: Simplify right side
    14,264.84x = 157,043,451.49
  5. Step 5: Solve for x
    x = 157,043,451.49/14,264.84
  6. Step 6: Final answer
    x = 11,009.13

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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.