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Finding the Fourth Proportional to 13,894.34, 19,176.01 and 7,924.64

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Solution

The fourth proportional to 13,894.34, 19,176.01 and 7,924.64 is: 10,937.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,894.34 : 19,176.01 = 7,924.64 : x
  2. Step 2: Convert to fraction form
    13,894.34/19,176.01 = 7,924.64/x
  3. Step 3: Cross multiply
    13,894.34x = 19,176.01 × 7,924.64
  4. Step 4: Simplify right side
    13,894.34x = 151,962,860.19
  5. Step 5: Solve for x
    x = 151,962,860.19/13,894.34
  6. Step 6: Final answer
    x = 10,937.04

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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.