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Finding the Fourth Proportional to 14,077.84, 19,422.48 and 8,768.26

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Solution

The fourth proportional to 14,077.84, 19,422.48 and 8,768.26 is: 12,097.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,077.84 : 19,422.48 = 8,768.26 : x
  2. Step 2: Convert to fraction form
    14,077.84/19,422.48 = 8,768.26/x
  3. Step 3: Cross multiply
    14,077.84x = 19,422.48 × 8,768.26
  4. Step 4: Simplify right side
    14,077.84x = 170,301,354.48
  5. Step 5: Solve for x
    x = 170,301,354.48/14,077.84
  6. Step 6: Final answer
    x = 12,097.12

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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.