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Finding the Fourth Proportional to 19,431.04, 29,144 and 6,281.92

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Solution

The fourth proportional to 19,431.04, 29,144 and 6,281.92 is: 9,422.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,431.04 : 29,144 = 6,281.92 : x
  2. Step 2: Convert to fraction form
    19,431.04/29,144 = 6,281.92/x
  3. Step 3: Cross multiply
    19,431.04x = 29,144 × 6,281.92
  4. Step 4: Simplify right side
    19,431.04x = 183,080,276.48
  5. Step 5: Solve for x
    x = 183,080,276.48/19,431.04
  6. Step 6: Final answer
    x = 9,422.05

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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.