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Finding the Fourth Proportional to 25,513.94, 35,214.80 and 14,187.30

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Solution

The fourth proportional to 25,513.94, 35,214.80 and 14,187.30 is: 19,581.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,513.94 : 35,214.80 = 14,187.30 : x
  2. Step 2: Convert to fraction form
    25,513.94/35,214.80 = 14,187.30/x
  3. Step 3: Cross multiply
    25,513.94x = 35,214.80 × 14,187.30
  4. Step 4: Simplify right side
    25,513.94x = 499,602,932.04
  5. Step 5: Solve for x
    x = 499,602,932.04/25,513.94
  6. Step 6: Final answer
    x = 19,581.57

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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.