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Finding the Fourth Proportional to 30,524.34, 45,759.14 and 12,984.60

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Solution

The fourth proportional to 30,524.34, 45,759.14 and 12,984.60 is: 19,465.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,524.34 : 45,759.14 = 12,984.60 : x
  2. Step 2: Convert to fraction form
    30,524.34/45,759.14 = 12,984.60/x
  3. Step 3: Cross multiply
    30,524.34x = 45,759.14 × 12,984.60
  4. Step 4: Simplify right side
    30,524.34x = 594,164,129.24
  5. Step 5: Solve for x
    x = 594,164,129.24/30,524.34
  6. Step 6: Final answer
    x = 19,465.26

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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.