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Finding the Fourth Proportional to 25,716.89, 35,489.71 and 14,386.88

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Solution

The fourth proportional to 25,716.89, 35,489.71 and 14,386.88 is: 19,854.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,716.89 : 35,489.71 = 14,386.88 : x
  2. Step 2: Convert to fraction form
    25,716.89/35,489.71 = 14,386.88/x
  3. Step 3: Cross multiply
    25,716.89x = 35,489.71 × 14,386.88
  4. Step 4: Simplify right side
    25,716.89x = 510,586,305.71
  5. Step 5: Solve for x
    x = 510,586,305.71/25,716.89
  6. Step 6: Final answer
    x = 19,854.12

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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.