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Finding the Fourth Proportional to 14,264.56, 19,686 and 7,977.40

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Solution

The fourth proportional to 14,264.56, 19,686 and 7,977.40 is: 11,009.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,264.56 : 19,686 = 7,977.40 : x
  2. Step 2: Convert to fraction form
    14,264.56/19,686 = 7,977.40/x
  3. Step 3: Cross multiply
    14,264.56x = 19,686 × 7,977.40
  4. Step 4: Simplify right side
    14,264.56x = 157,043,096.40
  5. Step 5: Solve for x
    x = 157,043,096.40/14,264.56
  6. Step 6: Final answer
    x = 11,009.32

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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.