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Finding the Fourth Proportional to 19,671.98, 29,492.61 and 13,416.49

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Solution

The fourth proportional to 19,671.98, 29,492.61 and 13,416.49 is: 20,114.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,671.98 : 29,492.61 = 13,416.49 : x
  2. Step 2: Convert to fraction form
    19,671.98/29,492.61 = 13,416.49/x
  3. Step 3: Cross multiply
    19,671.98x = 29,492.61 × 13,416.49
  4. Step 4: Simplify right side
    19,671.98x = 395,687,307.14
  5. Step 5: Solve for x
    x = 395,687,307.14/19,671.98
  6. Step 6: Final answer
    x = 20,114.26

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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.