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Finding the Fourth Proportional to 13,367.34, 18,448.32 and 7,702.32

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Solution

The fourth proportional to 13,367.34, 18,448.32 and 7,702.32 is: 10,630.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,367.34 : 18,448.32 = 7,702.32 : x
  2. Step 2: Convert to fraction form
    13,367.34/18,448.32 = 7,702.32/x
  3. Step 3: Cross multiply
    13,367.34x = 18,448.32 × 7,702.32
  4. Step 4: Simplify right side
    13,367.34x = 142,094,864.10
  5. Step 5: Solve for x
    x = 142,094,864.10/13,367.34
  6. Step 6: Final answer
    x = 10,630.00

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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.