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Finding the Fourth Proportional to 25,494.40, 35,182.72 and 14,164.93

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Solution

The fourth proportional to 25,494.40, 35,182.72 and 14,164.93 is: 19,547.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,494.40 : 35,182.72 = 14,164.93 : x
  2. Step 2: Convert to fraction form
    25,494.40/35,182.72 = 14,164.93/x
  3. Step 3: Cross multiply
    25,494.40x = 35,182.72 × 14,164.93
  4. Step 4: Simplify right side
    25,494.40x = 498,360,766.01
  5. Step 5: Solve for x
    x = 498,360,766.01/25,494.40
  6. Step 6: Final answer
    x = 19,547.85

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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.