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Finding the Fourth Proportional to 25,784.29, 35,579.13 and 15,709.07

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Solution

The fourth proportional to 25,784.29, 35,579.13 and 15,709.07 is: 21,676.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,784.29 : 35,579.13 = 15,709.07 : x
  2. Step 2: Convert to fraction form
    25,784.29/35,579.13 = 15,709.07/x
  3. Step 3: Cross multiply
    25,784.29x = 35,579.13 × 15,709.07
  4. Step 4: Simplify right side
    25,784.29x = 558,915,043.71
  5. Step 5: Solve for x
    x = 558,915,043.71/25,784.29
  6. Step 6: Final answer
    x = 21,676.58

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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.