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Finding the Fourth Proportional to 35,807.66, 53,712.84 and 13,616.90

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Solution

The fourth proportional to 35,807.66, 53,712.84 and 13,616.90 is: 20,425.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,807.66 : 53,712.84 = 13,616.90 : x
  2. Step 2: Convert to fraction form
    35,807.66/53,712.84 = 13,616.90/x
  3. Step 3: Cross multiply
    35,807.66x = 53,712.84 × 13,616.90
  4. Step 4: Simplify right side
    35,807.66x = 731,402,371.00
  5. Step 5: Solve for x
    x = 731,402,371.00/35,807.66
  6. Step 6: Final answer
    x = 20,425.86

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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.