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Finding the Fourth Proportional to 25,612.95, 35,345.72 and 14,282.58

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Solution

The fourth proportional to 25,612.95, 35,345.72 and 14,282.58 is: 19,709.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,612.95 : 35,345.72 = 14,282.58 : x
  2. Step 2: Convert to fraction form
    25,612.95/35,345.72 = 14,282.58/x
  3. Step 3: Cross multiply
    25,612.95x = 35,345.72 × 14,282.58
  4. Step 4: Simplify right side
    25,612.95x = 504,828,002.14
  5. Step 5: Solve for x
    x = 504,828,002.14/25,612.95
  6. Step 6: Final answer
    x = 19,709.87

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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.