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Finding the Fourth Proportional to 13,206, 19,784.28 and 6,624.48

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Solution

The fourth proportional to 13,206, 19,784.28 and 6,624.48 is: 9,924.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,206 : 19,784.28 = 6,624.48 : x
  2. Step 2: Convert to fraction form
    13,206/19,784.28 = 6,624.48/x
  3. Step 3: Cross multiply
    13,206x = 19,784.28 × 6,624.48
  4. Step 4: Simplify right side
    13,206x = 131,060,567.17
  5. Step 5: Solve for x
    x = 131,060,567.17/13,206
  6. Step 6: Final answer
    x = 9,924.32

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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.