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Finding the Fourth Proportional to 16,964, 25,444.30 and 10,386.80

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Solution

The fourth proportional to 16,964, 25,444.30 and 10,386.80 is: 15,579.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,964 : 25,444.30 = 10,386.80 : x
  2. Step 2: Convert to fraction form
    16,964/25,444.30 = 10,386.80/x
  3. Step 3: Cross multiply
    16,964x = 25,444.30 × 10,386.80
  4. Step 4: Simplify right side
    16,964x = 264,284,855.24
  5. Step 5: Solve for x
    x = 264,284,855.24/16,964
  6. Step 6: Final answer
    x = 15,579.16

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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.