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Finding the Fourth Proportional to 13,931.52, 19,225.92 and 7,644.32

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Solution

The fourth proportional to 13,931.52, 19,225.92 and 7,644.32 is: 10,549.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,931.52 : 19,225.92 = 7,644.32 : x
  2. Step 2: Convert to fraction form
    13,931.52/19,225.92 = 7,644.32/x
  3. Step 3: Cross multiply
    13,931.52x = 19,225.92 × 7,644.32
  4. Step 4: Simplify right side
    13,931.52x = 146,969,084.77
  5. Step 5: Solve for x
    x = 146,969,084.77/13,931.52
  6. Step 6: Final answer
    x = 10,549.39

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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.