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Finding the Fourth Proportional to 13,702.32, 18,889.56 and 9,218.16

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Solution

The fourth proportional to 13,702.32, 18,889.56 and 9,218.16 is: 12,707.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702.32 : 18,889.56 = 9,218.16 : x
  2. Step 2: Convert to fraction form
    13,702.32/18,889.56 = 9,218.16/x
  3. Step 3: Cross multiply
    13,702.32x = 18,889.56 × 9,218.16
  4. Step 4: Simplify right side
    13,702.32x = 174,126,986.41
  5. Step 5: Solve for x
    x = 174,126,986.41/13,702.32
  6. Step 6: Final answer
    x = 12,707.85

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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.