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Finding the Fourth Proportional to 25,617, 35,351.46 and 14,439

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Solution

The fourth proportional to 25,617, 35,351.46 and 14,439 is: 19,925.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,617 : 35,351.46 = 14,439 : x
  2. Step 2: Convert to fraction form
    25,617/35,351.46 = 14,439/x
  3. Step 3: Cross multiply
    25,617x = 35,351.46 × 14,439
  4. Step 4: Simplify right side
    25,617x = 510,439,730.94
  5. Step 5: Solve for x
    x = 510,439,730.94/25,617
  6. Step 6: Final answer
    x = 19,925.82

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Why These Related Problems?

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