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Finding the Fourth Proportional to 19,656.46, 29,461.60 and 9,104.19

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Solution

The fourth proportional to 19,656.46, 29,461.60 and 9,104.19 is: 13,645.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,656.46 : 29,461.60 = 9,104.19 : x
  2. Step 2: Convert to fraction form
    19,656.46/29,461.60 = 9,104.19/x
  3. Step 3: Cross multiply
    19,656.46x = 29,461.60 × 9,104.19
  4. Step 4: Simplify right side
    19,656.46x = 268,224,004.10
  5. Step 5: Solve for x
    x = 268,224,004.10/19,656.46
  6. Step 6: Final answer
    x = 13,645.59

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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.