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Finding the Fourth Proportional to 25,713.77, 35,484.74 and 14,383.14

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Solution

The fourth proportional to 25,713.77, 35,484.74 and 14,383.14 is: 19,848.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,713.77 : 35,484.74 = 14,383.14 : x
  2. Step 2: Convert to fraction form
    25,713.77/35,484.74 = 14,383.14/x
  3. Step 3: Cross multiply
    25,713.77x = 35,484.74 × 14,383.14
  4. Step 4: Simplify right side
    25,713.77x = 510,381,832.24
  5. Step 5: Solve for x
    x = 510,381,832.24/25,713.77
  6. Step 6: Final answer
    x = 19,848.58

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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.