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Finding the Fourth Proportional to 14,807.40, 20,412.57 and 11,264.46

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Solution

The fourth proportional to 14,807.40, 20,412.57 and 11,264.46 is: 15,528.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,807.40 : 20,412.57 = 11,264.46 : x
  2. Step 2: Convert to fraction form
    14,807.40/20,412.57 = 11,264.46/x
  3. Step 3: Cross multiply
    14,807.40x = 20,412.57 × 11,264.46
  4. Step 4: Simplify right side
    14,807.40x = 229,936,578.26
  5. Step 5: Solve for x
    x = 229,936,578.26/14,807.40
  6. Step 6: Final answer
    x = 15,528.49

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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.