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Finding the Fourth Proportional to 16,999.88, 23,457.14 and 9,827.13

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Solution

The fourth proportional to 16,999.88, 23,457.14 and 9,827.13 is: 13,559.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,999.88 : 23,457.14 = 9,827.13 : x
  2. Step 2: Convert to fraction form
    16,999.88/23,457.14 = 9,827.13/x
  3. Step 3: Cross multiply
    16,999.88x = 23,457.14 × 9,827.13
  4. Step 4: Simplify right side
    16,999.88x = 230,516,364.21
  5. Step 5: Solve for x
    x = 230,516,364.21/16,999.88
  6. Step 6: Final answer
    x = 13,559.88

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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.