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Finding the Fourth Proportional to 19,862.10, 29,744.55 and 9,461.70

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Solution

The fourth proportional to 19,862.10, 29,744.55 and 9,461.70 is: 14,169.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,862.10 : 29,744.55 = 9,461.70 : x
  2. Step 2: Convert to fraction form
    19,862.10/29,744.55 = 9,461.70/x
  3. Step 3: Cross multiply
    19,862.10x = 29,744.55 × 9,461.70
  4. Step 4: Simplify right side
    19,862.10x = 281,434,008.74
  5. Step 5: Solve for x
    x = 281,434,008.74/19,862.10
  6. Step 6: Final answer
    x = 14,169.40

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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.