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Finding the Fourth Proportional to 19,412.85, 26,806.54 and 18,416.40

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Solution

The fourth proportional to 19,412.85, 26,806.54 and 18,416.40 is: 25,430.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,412.85 : 26,806.54 = 18,416.40 : x
  2. Step 2: Convert to fraction form
    19,412.85/26,806.54 = 18,416.40/x
  3. Step 3: Cross multiply
    19,412.85x = 26,806.54 × 18,416.40
  4. Step 4: Simplify right side
    19,412.85x = 493,679,963.26
  5. Step 5: Solve for x
    x = 493,679,963.26/19,412.85
  6. Step 6: Final answer
    x = 25,430.58

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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.