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Finding the Fourth Proportional to 35,207.84, 52,808.32 and 14,429.76

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Solution

The fourth proportional to 35,207.84, 52,808.32 and 14,429.76 is: 21,643.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,207.84 : 52,808.32 = 14,429.76 : x
  2. Step 2: Convert to fraction form
    35,207.84/52,808.32 = 14,429.76/x
  3. Step 3: Cross multiply
    35,207.84x = 52,808.32 × 14,429.76
  4. Step 4: Simplify right side
    35,207.84x = 762,011,383.60
  5. Step 5: Solve for x
    x = 762,011,383.60/35,207.84
  6. Step 6: Final answer
    x = 21,643.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.