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Finding the Fourth Proportional to 13,435.84, 20,149.98 and 4,670.56

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Solution

The fourth proportional to 13,435.84, 20,149.98 and 4,670.56 is: 7,004.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,435.84 : 20,149.98 = 4,670.56 : x
  2. Step 2: Convert to fraction form
    13,435.84/20,149.98 = 4,670.56/x
  3. Step 3: Cross multiply
    13,435.84x = 20,149.98 × 4,670.56
  4. Step 4: Simplify right side
    13,435.84x = 94,111,690.59
  5. Step 5: Solve for x
    x = 94,111,690.59/13,435.84
  6. Step 6: Final answer
    x = 7,004.53

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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.