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Finding the Fourth Proportional to 34,836.32, 52,259.03 and 12,646.46

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Solution

The fourth proportional to 34,836.32, 52,259.03 and 12,646.46 is: 18,971.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,836.32 : 52,259.03 = 12,646.46 : x
  2. Step 2: Convert to fraction form
    34,836.32/52,259.03 = 12,646.46/x
  3. Step 3: Cross multiply
    34,836.32x = 52,259.03 × 12,646.46
  4. Step 4: Simplify right side
    34,836.32x = 660,891,732.53
  5. Step 5: Solve for x
    x = 660,891,732.53/34,836.32
  6. Step 6: Final answer
    x = 18,971.34

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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.