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Finding the Fourth Proportional to 13,897.53, 19,176.80 and 7,928.84

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Solution

The fourth proportional to 13,897.53, 19,176.80 and 7,928.84 is: 10,940.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,897.53 : 19,176.80 = 7,928.84 : x
  2. Step 2: Convert to fraction form
    13,897.53/19,176.80 = 7,928.84/x
  3. Step 3: Cross multiply
    13,897.53x = 19,176.80 × 7,928.84
  4. Step 4: Simplify right side
    13,897.53x = 152,049,643.38
  5. Step 5: Solve for x
    x = 152,049,643.38/13,897.53
  6. Step 6: Final answer
    x = 10,940.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.