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Finding the Fourth Proportional to 15,506.76, 23,267.84 and 6,146.58

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Solution

The fourth proportional to 15,506.76, 23,267.84 and 6,146.58 is: 9,222.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,506.76 : 23,267.84 = 6,146.58 : x
  2. Step 2: Convert to fraction form
    15,506.76/23,267.84 = 6,146.58/x
  3. Step 3: Cross multiply
    15,506.76x = 23,267.84 × 6,146.58
  4. Step 4: Simplify right side
    15,506.76x = 143,017,609.25
  5. Step 5: Solve for x
    x = 143,017,609.25/15,506.76
  6. Step 6: Final answer
    x = 9,222.92

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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.