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Finding the Fourth Proportional to 14,452.30, 21,663.54 and 7,047.61

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Solution

The fourth proportional to 14,452.30, 21,663.54 and 7,047.61 is: 10,564.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,452.30 : 21,663.54 = 7,047.61 : x
  2. Step 2: Convert to fraction form
    14,452.30/21,663.54 = 7,047.61/x
  3. Step 3: Cross multiply
    14,452.30x = 21,663.54 × 7,047.61
  4. Step 4: Simplify right side
    14,452.30x = 152,676,181.14
  5. Step 5: Solve for x
    x = 152,676,181.14/14,452.30
  6. Step 6: Final answer
    x = 10,564.14

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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.