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Finding the Fourth Proportional to 19,489.14, 26,894.16 and 12,417.84

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Solution

The fourth proportional to 19,489.14, 26,894.16 and 12,417.84 is: 17,136.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,489.14 : 26,894.16 = 12,417.84 : x
  2. Step 2: Convert to fraction form
    19,489.14/26,894.16 = 12,417.84/x
  3. Step 3: Cross multiply
    19,489.14x = 26,894.16 × 12,417.84
  4. Step 4: Simplify right side
    19,489.14x = 333,967,375.81
  5. Step 5: Solve for x
    x = 333,967,375.81/19,489.14
  6. Step 6: Final answer
    x = 17,136.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.