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Finding the Fourth Proportional to 35,207.36, 52,830.48 and 14,426

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Solution

The fourth proportional to 35,207.36, 52,830.48 and 14,426 is: 21,646.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,207.36 : 52,830.48 = 14,426 : x
  2. Step 2: Convert to fraction form
    35,207.36/52,830.48 = 14,426/x
  3. Step 3: Cross multiply
    35,207.36x = 52,830.48 × 14,426
  4. Step 4: Simplify right side
    35,207.36x = 762,132,504.48
  5. Step 5: Solve for x
    x = 762,132,504.48/35,207.36
  6. Step 6: Final answer
    x = 21,646.97

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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.