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Finding the Fourth Proportional to 14,314.40, 19,754.10 and 9,280.64

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Solution

The fourth proportional to 14,314.40, 19,754.10 and 9,280.64 is: 12,807.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,314.40 : 19,754.10 = 9,280.64 : x
  2. Step 2: Convert to fraction form
    14,314.40/19,754.10 = 9,280.64/x
  3. Step 3: Cross multiply
    14,314.40x = 19,754.10 × 9,280.64
  4. Step 4: Simplify right side
    14,314.40x = 183,330,690.62
  5. Step 5: Solve for x
    x = 183,330,690.62/14,314.40
  6. Step 6: Final answer
    x = 12,807.43

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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.