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Finding the Fourth Proportional to 14,714.51, 20,299.16 and 9,046.99

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Solution

The fourth proportional to 14,714.51, 20,299.16 and 9,046.99 is: 12,480.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,714.51 : 20,299.16 = 9,046.99 : x
  2. Step 2: Convert to fraction form
    14,714.51/20,299.16 = 9,046.99/x
  3. Step 3: Cross multiply
    14,714.51x = 20,299.16 × 9,046.99
  4. Step 4: Simplify right side
    14,714.51x = 183,646,294.63
  5. Step 5: Solve for x
    x = 183,646,294.63/14,714.51
  6. Step 6: Final answer
    x = 12,480.63

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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.