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Finding the Fourth Proportional to 15,460.20, 23,176.80 and 10,513.80

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Solution

The fourth proportional to 15,460.20, 23,176.80 and 10,513.80 is: 15,761.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,460.20 : 23,176.80 = 10,513.80 : x
  2. Step 2: Convert to fraction form
    15,460.20/23,176.80 = 10,513.80/x
  3. Step 3: Cross multiply
    15,460.20x = 23,176.80 × 10,513.80
  4. Step 4: Simplify right side
    15,460.20x = 243,676,239.84
  5. Step 5: Solve for x
    x = 243,676,239.84/15,460.20
  6. Step 6: Final answer
    x = 15,761.52

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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.