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Finding the Fourth Proportional to 35,717.64, 53,572.70 and 14,659.90

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Solution

The fourth proportional to 35,717.64, 53,572.70 and 14,659.90 is: 21,988.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,717.64 : 53,572.70 = 14,659.90 : x
  2. Step 2: Convert to fraction form
    35,717.64/53,572.70 = 14,659.90/x
  3. Step 3: Cross multiply
    35,717.64x = 53,572.70 × 14,659.90
  4. Step 4: Simplify right side
    35,717.64x = 785,370,351.43
  5. Step 5: Solve for x
    x = 785,370,351.43/35,717.64
  6. Step 6: Final answer
    x = 21,988.30

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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.