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Finding the Fourth Proportional to 35,211.16, 52,815.66 and 14,419

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Solution

The fourth proportional to 35,211.16, 52,815.66 and 14,419 is: 21,628.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,211.16 : 52,815.66 = 14,419 : x
  2. Step 2: Convert to fraction form
    35,211.16/52,815.66 = 14,419/x
  3. Step 3: Cross multiply
    35,211.16x = 52,815.66 × 14,419
  4. Step 4: Simplify right side
    35,211.16x = 761,549,001.54
  5. Step 5: Solve for x
    x = 761,549,001.54/35,211.16
  6. Step 6: Final answer
    x = 21,628.06

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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.