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Finding the Fourth Proportional to 16,962.56, 23,409.28 and 9,888.56

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Solution

The fourth proportional to 16,962.56, 23,409.28 and 9,888.56 is: 13,646.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,962.56 : 23,409.28 = 9,888.56 : x
  2. Step 2: Convert to fraction form
    16,962.56/23,409.28 = 9,888.56/x
  3. Step 3: Cross multiply
    16,962.56x = 23,409.28 × 9,888.56
  4. Step 4: Simplify right side
    16,962.56x = 231,484,069.84
  5. Step 5: Solve for x
    x = 231,484,069.84/16,962.56
  6. Step 6: Final answer
    x = 13,646.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.