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Finding the Fourth Proportional to 25,690.84, 38,541.53 and 9,895.84

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Solution

The fourth proportional to 25,690.84, 38,541.53 and 9,895.84 is: 14,845.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,690.84 : 38,541.53 = 9,895.84 : x
  2. Step 2: Convert to fraction form
    25,690.84/38,541.53 = 9,895.84/x
  3. Step 3: Cross multiply
    25,690.84x = 38,541.53 × 9,895.84
  4. Step 4: Simplify right side
    25,690.84x = 381,400,814.24
  5. Step 5: Solve for x
    x = 381,400,814.24/25,690.84
  6. Step 6: Final answer
    x = 14,845.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.