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Finding the Fourth Proportional to 12,147.90, 18,197.68 and 9,653.35

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Solution

The fourth proportional to 12,147.90, 18,197.68 and 9,653.35 is: 14,460.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,147.90 : 18,197.68 = 9,653.35 : x
  2. Step 2: Convert to fraction form
    12,147.90/18,197.68 = 9,653.35/x
  3. Step 3: Cross multiply
    12,147.90x = 18,197.68 × 9,653.35
  4. Step 4: Simplify right side
    12,147.90x = 175,668,567.28
  5. Step 5: Solve for x
    x = 175,668,567.28/12,147.90
  6. Step 6: Final answer
    x = 14,460.82

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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.