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Finding the Fourth Proportional to 14,404.88, 19,884.24 and 9,702.56

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Solution

The fourth proportional to 14,404.88, 19,884.24 and 9,702.56 is: 13,393.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,404.88 : 19,884.24 = 9,702.56 : x
  2. Step 2: Convert to fraction form
    14,404.88/19,884.24 = 9,702.56/x
  3. Step 3: Cross multiply
    14,404.88x = 19,884.24 × 9,702.56
  4. Step 4: Simplify right side
    14,404.88x = 192,928,031.65
  5. Step 5: Solve for x
    x = 192,928,031.65/14,404.88
  6. Step 6: Final answer
    x = 13,393.24

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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.