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Finding the Fourth Proportional to 13,931.44, 19,225.44 and 7,963.30

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Solution

The fourth proportional to 13,931.44, 19,225.44 and 7,963.30 is: 10,989.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,931.44 : 19,225.44 = 7,963.30 : x
  2. Step 2: Convert to fraction form
    13,931.44/19,225.44 = 7,963.30/x
  3. Step 3: Cross multiply
    13,931.44x = 19,225.44 × 7,963.30
  4. Step 4: Simplify right side
    13,931.44x = 153,097,946.35
  5. Step 5: Solve for x
    x = 153,097,946.35/13,931.44
  6. Step 6: Final answer
    x = 10,989.38

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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.