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Finding the Fourth Proportional to 14,182.25, 19,571.64 and 7,894.76

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Solution

The fourth proportional to 14,182.25, 19,571.64 and 7,894.76 is: 10,894.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,182.25 : 19,571.64 = 7,894.76 : x
  2. Step 2: Convert to fraction form
    14,182.25/19,571.64 = 7,894.76/x
  3. Step 3: Cross multiply
    14,182.25x = 19,571.64 × 7,894.76
  4. Step 4: Simplify right side
    14,182.25x = 154,513,400.61
  5. Step 5: Solve for x
    x = 154,513,400.61/14,182.25
  6. Step 6: Final answer
    x = 10,894.84

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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.