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Finding the Fourth Proportional to 12,228.42, 16,858.88 and 9,718.86

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Solution

The fourth proportional to 12,228.42, 16,858.88 and 9,718.86 is: 13,399.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,228.42 : 16,858.88 = 9,718.86 : x
  2. Step 2: Convert to fraction form
    12,228.42/16,858.88 = 9,718.86/x
  3. Step 3: Cross multiply
    12,228.42x = 16,858.88 × 9,718.86
  4. Step 4: Simplify right side
    12,228.42x = 163,849,094.48
  5. Step 5: Solve for x
    x = 163,849,094.48/12,228.42
  6. Step 6: Final answer
    x = 13,399.04

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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.