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Finding the Fourth Proportional to 19,681.52, 29,509.56 and 9,679.28

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Solution

The fourth proportional to 19,681.52, 29,509.56 and 9,679.28 is: 14,512.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,681.52 : 29,509.56 = 9,679.28 : x
  2. Step 2: Convert to fraction form
    19,681.52/29,509.56 = 9,679.28/x
  3. Step 3: Cross multiply
    19,681.52x = 29,509.56 × 9,679.28
  4. Step 4: Simplify right side
    19,681.52x = 285,631,293.92
  5. Step 5: Solve for x
    x = 285,631,293.92/19,681.52
  6. Step 6: Final answer
    x = 14,512.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.