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Finding the Fourth Proportional to 25,960.48, 35,823 and 15,203.68

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Solution

The fourth proportional to 25,960.48, 35,823 and 15,203.68 is: 20,979.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,960.48 : 35,823 = 15,203.68 : x
  2. Step 2: Convert to fraction form
    25,960.48/35,823 = 15,203.68/x
  3. Step 3: Cross multiply
    25,960.48x = 35,823 × 15,203.68
  4. Step 4: Simplify right side
    25,960.48x = 544,641,428.64
  5. Step 5: Solve for x
    x = 544,641,428.64/25,960.48
  6. Step 6: Final answer
    x = 20,979.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.