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Finding the Fourth Proportional to 25,645.64, 35,390.84 and 14,314.47

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Solution

The fourth proportional to 25,645.64, 35,390.84 and 14,314.47 is: 19,753.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,645.64 : 35,390.84 = 14,314.47 : x
  2. Step 2: Convert to fraction form
    25,645.64/35,390.84 = 14,314.47/x
  3. Step 3: Cross multiply
    25,645.64x = 35,390.84 × 14,314.47
  4. Step 4: Simplify right side
    25,645.64x = 506,601,045.88
  5. Step 5: Solve for x
    x = 506,601,045.88/25,645.64
  6. Step 6: Final answer
    x = 19,753.89

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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.