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Finding the Fourth Proportional to 16,952.48, 25,428.72 and 7,712

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Solution

The fourth proportional to 16,952.48, 25,428.72 and 7,712 is: 11,568.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,952.48 : 25,428.72 = 7,712 : x
  2. Step 2: Convert to fraction form
    16,952.48/25,428.72 = 7,712/x
  3. Step 3: Cross multiply
    16,952.48x = 25,428.72 × 7,712
  4. Step 4: Simplify right side
    16,952.48x = 196,106,288.64
  5. Step 5: Solve for x
    x = 196,106,288.64/16,952.48
  6. Step 6: Final answer
    x = 11,568.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.