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Finding the Fourth Proportional to 15,471.18, 23,196.36 and 7,146.63

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Solution

The fourth proportional to 15,471.18, 23,196.36 and 7,146.63 is: 10,715.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,471.18 : 23,196.36 = 7,146.63 : x
  2. Step 2: Convert to fraction form
    15,471.18/23,196.36 = 7,146.63/x
  3. Step 3: Cross multiply
    15,471.18x = 23,196.36 × 7,146.63
  4. Step 4: Simplify right side
    15,471.18x = 165,775,802.27
  5. Step 5: Solve for x
    x = 165,775,802.27/15,471.18
  6. Step 6: Final answer
    x = 10,715.14

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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.