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Finding the Fourth Proportional to 15,460.48, 23,182.94 and 7,563.60

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Solution

The fourth proportional to 15,460.48, 23,182.94 and 7,563.60 is: 11,341.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,460.48 : 23,182.94 = 7,563.60 : x
  2. Step 2: Convert to fraction form
    15,460.48/23,182.94 = 7,563.60/x
  3. Step 3: Cross multiply
    15,460.48x = 23,182.94 × 7,563.60
  4. Step 4: Simplify right side
    15,460.48x = 175,346,484.98
  5. Step 5: Solve for x
    x = 175,346,484.98/15,460.48
  6. Step 6: Final answer
    x = 11,341.59

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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.