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Finding the Fourth Proportional to 19,673.46, 29,486.30 and 9,129.15

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Solution

The fourth proportional to 19,673.46, 29,486.30 and 9,129.15 is: 13,682.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,673.46 : 29,486.30 = 9,129.15 : x
  2. Step 2: Convert to fraction form
    19,673.46/29,486.30 = 9,129.15/x
  3. Step 3: Cross multiply
    19,673.46x = 29,486.30 × 9,129.15
  4. Step 4: Simplify right side
    19,673.46x = 269,184,810.00
  5. Step 5: Solve for x
    x = 269,184,810.00/19,673.46
  6. Step 6: Final answer
    x = 13,682.64

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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.