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Finding the Fourth Proportional to 15,530.93, 23,279.65 and 7,624.24

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Solution

The fourth proportional to 15,530.93, 23,279.65 and 7,624.24 is: 11,428.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,530.93 : 23,279.65 = 7,624.24 : x
  2. Step 2: Convert to fraction form
    15,530.93/23,279.65 = 7,624.24/x
  3. Step 3: Cross multiply
    15,530.93x = 23,279.65 × 7,624.24
  4. Step 4: Simplify right side
    15,530.93x = 177,489,638.72
  5. Step 5: Solve for x
    x = 177,489,638.72/15,530.93
  6. Step 6: Final answer
    x = 11,428.14

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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.