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Finding the Fourth Proportional to 22,444.64, 30,976.32 and 13,013.60

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Solution

The fourth proportional to 22,444.64, 30,976.32 and 13,013.60 is: 17,960.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,444.64 : 30,976.32 = 13,013.60 : x
  2. Step 2: Convert to fraction form
    22,444.64/30,976.32 = 13,013.60/x
  3. Step 3: Cross multiply
    22,444.64x = 30,976.32 × 13,013.60
  4. Step 4: Simplify right side
    22,444.64x = 403,113,437.95
  5. Step 5: Solve for x
    x = 403,113,437.95/22,444.64
  6. Step 6: Final answer
    x = 17,960.34

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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.