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Finding the Fourth Proportional to 19,720.90, 29,548.95 and 16,416.10

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Solution

The fourth proportional to 19,720.90, 29,548.95 and 16,416.10 is: 24,597.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,720.90 : 29,548.95 = 16,416.10 : x
  2. Step 2: Convert to fraction form
    19,720.90/29,548.95 = 16,416.10/x
  3. Step 3: Cross multiply
    19,720.90x = 29,548.95 × 16,416.10
  4. Step 4: Simplify right side
    19,720.90x = 485,078,518.10
  5. Step 5: Solve for x
    x = 485,078,518.10/19,720.90
  6. Step 6: Final answer
    x = 24,597.18

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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.