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Finding the Fourth Proportional to 23,646.76, 35,457.66 and 10,493.40

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Solution

The fourth proportional to 23,646.76, 35,457.66 and 10,493.40 is: 15,734.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,646.76 : 35,457.66 = 10,493.40 : x
  2. Step 2: Convert to fraction form
    23,646.76/35,457.66 = 10,493.40/x
  3. Step 3: Cross multiply
    23,646.76x = 35,457.66 × 10,493.40
  4. Step 4: Simplify right side
    23,646.76x = 372,071,409.44
  5. Step 5: Solve for x
    x = 372,071,409.44/23,646.76
  6. Step 6: Final answer
    x = 15,734.56

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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.