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Finding the Fourth Proportional to 14,071.65, 19,410.42 and 9,291.64

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Solution

The fourth proportional to 14,071.65, 19,410.42 and 9,291.64 is: 12,816.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,071.65 : 19,410.42 = 9,291.64 : x
  2. Step 2: Convert to fraction form
    14,071.65/19,410.42 = 9,291.64/x
  3. Step 3: Cross multiply
    14,071.65x = 19,410.42 × 9,291.64
  4. Step 4: Simplify right side
    14,071.65x = 180,354,634.89
  5. Step 5: Solve for x
    x = 180,354,634.89/14,071.65
  6. Step 6: Final answer
    x = 12,816.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.