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Finding the Fourth Proportional to 25,579.44, 35,301.24 and 14,402.16

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Solution

The fourth proportional to 25,579.44, 35,301.24 and 14,402.16 is: 19,875.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,579.44 : 35,301.24 = 14,402.16 : x
  2. Step 2: Convert to fraction form
    25,579.44/35,301.24 = 14,402.16/x
  3. Step 3: Cross multiply
    25,579.44x = 35,301.24 × 14,402.16
  4. Step 4: Simplify right side
    25,579.44x = 508,414,106.68
  5. Step 5: Solve for x
    x = 508,414,106.68/25,579.44
  6. Step 6: Final answer
    x = 19,875.89

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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.