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Finding the Fourth Proportional to 19,826.60, 29,707.74 and 10,466.12

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Solution

The fourth proportional to 19,826.60, 29,707.74 and 10,466.12 is: 15,682.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,826.60 : 29,707.74 = 10,466.12 : x
  2. Step 2: Convert to fraction form
    19,826.60/29,707.74 = 10,466.12/x
  3. Step 3: Cross multiply
    19,826.60x = 29,707.74 × 10,466.12
  4. Step 4: Simplify right side
    19,826.60x = 310,924,771.77
  5. Step 5: Solve for x
    x = 310,924,771.77/19,826.60
  6. Step 6: Final answer
    x = 15,682.20

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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.