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Finding the Fourth Proportional to 15,530.94, 23,298.72 and 7,211.82

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Solution

The fourth proportional to 15,530.94, 23,298.72 and 7,211.82 is: 10,818.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,530.94 : 23,298.72 = 7,211.82 : x
  2. Step 2: Convert to fraction form
    15,530.94/23,298.72 = 7,211.82/x
  3. Step 3: Cross multiply
    15,530.94x = 23,298.72 × 7,211.82
  4. Step 4: Simplify right side
    15,530.94x = 168,026,174.87
  5. Step 5: Solve for x
    x = 168,026,174.87/15,530.94
  6. Step 6: Final answer
    x = 10,818.80

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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.