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Finding the Fourth Proportional to 13,166.64, 19,722.29 and 6,152.58

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Solution

The fourth proportional to 13,166.64, 19,722.29 and 6,152.58 is: 9,215.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,166.64 : 19,722.29 = 6,152.58 : x
  2. Step 2: Convert to fraction form
    13,166.64/19,722.29 = 6,152.58/x
  3. Step 3: Cross multiply
    13,166.64x = 19,722.29 × 6,152.58
  4. Step 4: Simplify right side
    13,166.64x = 121,342,936.25
  5. Step 5: Solve for x
    x = 121,342,936.25/13,166.64
  6. Step 6: Final answer
    x = 9,215.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.