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Finding the Fourth Proportional to 13,153.32, 18,146.88 and 7,774.62

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Solution

The fourth proportional to 13,153.32, 18,146.88 and 7,774.62 is: 10,726.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,153.32 : 18,146.88 = 7,774.62 : x
  2. Step 2: Convert to fraction form
    13,153.32/18,146.88 = 7,774.62/x
  3. Step 3: Cross multiply
    13,153.32x = 18,146.88 × 7,774.62
  4. Step 4: Simplify right side
    13,153.32x = 141,085,096.19
  5. Step 5: Solve for x
    x = 141,085,096.19/13,153.32
  6. Step 6: Final answer
    x = 10,726.20

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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.