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Finding the Fourth Proportional to 19,762.30, 29,645.95 and 9,086.10

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Solution

The fourth proportional to 19,762.30, 29,645.95 and 9,086.10 is: 13,630.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,762.30 : 29,645.95 = 9,086.10 : x
  2. Step 2: Convert to fraction form
    19,762.30/29,645.95 = 9,086.10/x
  3. Step 3: Cross multiply
    19,762.30x = 29,645.95 × 9,086.10
  4. Step 4: Simplify right side
    19,762.30x = 269,366,066.30
  5. Step 5: Solve for x
    x = 269,366,066.30/19,762.30
  6. Step 6: Final answer
    x = 13,630.30

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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.