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Finding the Fourth Proportional to 25,715.40, 35,486.56 and 14,384.94

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Solution

The fourth proportional to 25,715.40, 35,486.56 and 14,384.94 is: 19,850.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,715.40 : 35,486.56 = 14,384.94 : x
  2. Step 2: Convert to fraction form
    25,715.40/35,486.56 = 14,384.94/x
  3. Step 3: Cross multiply
    25,715.40x = 35,486.56 × 14,384.94
  4. Step 4: Simplify right side
    25,715.40x = 510,472,036.41
  5. Step 5: Solve for x
    x = 510,472,036.41/25,715.40
  6. Step 6: Final answer
    x = 19,850.83

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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.