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Finding the Fourth Proportional to 16,700.97, 23,051.12 and 10,412.13

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Solution

The fourth proportional to 16,700.97, 23,051.12 and 10,412.13 is: 14,371.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,700.97 : 23,051.12 = 10,412.13 : x
  2. Step 2: Convert to fraction form
    16,700.97/23,051.12 = 10,412.13/x
  3. Step 3: Cross multiply
    16,700.97x = 23,051.12 × 10,412.13
  4. Step 4: Simplify right side
    16,700.97x = 240,011,258.09
  5. Step 5: Solve for x
    x = 240,011,258.09/16,700.97
  6. Step 6: Final answer
    x = 14,371.10

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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.