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Finding the Fourth Proportional to 13,929.84, 19,223.64 and 7,642.56

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Solution

The fourth proportional to 13,929.84, 19,223.64 and 7,642.56 is: 10,546.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,929.84 : 19,223.64 = 7,642.56 : x
  2. Step 2: Convert to fraction form
    13,929.84/19,223.64 = 7,642.56/x
  3. Step 3: Cross multiply
    13,929.84x = 19,223.64 × 7,642.56
  4. Step 4: Simplify right side
    13,929.84x = 146,917,822.12
  5. Step 5: Solve for x
    x = 146,917,822.12/13,929.84
  6. Step 6: Final answer
    x = 10,546.99

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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.