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Finding the Fourth Proportional to 12,967.44, 19,421.88 and 9,089.12

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Solution

The fourth proportional to 12,967.44, 19,421.88 and 9,089.12 is: 13,613.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,967.44 : 19,421.88 = 9,089.12 : x
  2. Step 2: Convert to fraction form
    12,967.44/19,421.88 = 9,089.12/x
  3. Step 3: Cross multiply
    12,967.44x = 19,421.88 × 9,089.12
  4. Step 4: Simplify right side
    12,967.44x = 176,527,797.95
  5. Step 5: Solve for x
    x = 176,527,797.95/12,967.44
  6. Step 6: Final answer
    x = 13,613.16

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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.