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Finding the Fourth Proportional to 25,574.78, 35,284.74 and 14,956.90

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Solution

The fourth proportional to 25,574.78, 35,284.74 and 14,956.90 is: 20,635.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,574.78 : 35,284.74 = 14,956.90 : x
  2. Step 2: Convert to fraction form
    25,574.78/35,284.74 = 14,956.90/x
  3. Step 3: Cross multiply
    25,574.78x = 35,284.74 × 14,956.90
  4. Step 4: Simplify right side
    25,574.78x = 527,750,327.71
  5. Step 5: Solve for x
    x = 527,750,327.71/25,574.78
  6. Step 6: Final answer
    x = 20,635.58

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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.