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Finding the Fourth Proportional to 17,459.68, 26,197.20 and 12,784.16

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Solution

The fourth proportional to 17,459.68, 26,197.20 and 12,784.16 is: 19,181.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,459.68 : 26,197.20 = 12,784.16 : x
  2. Step 2: Convert to fraction form
    17,459.68/26,197.20 = 12,784.16/x
  3. Step 3: Cross multiply
    17,459.68x = 26,197.20 × 12,784.16
  4. Step 4: Simplify right side
    17,459.68x = 334,909,196.35
  5. Step 5: Solve for x
    x = 334,909,196.35/17,459.68
  6. Step 6: Final answer
    x = 19,181.86

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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.