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Finding the Fourth Proportional to 13,539.85, 20,307.72 and 4,656.53

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Solution

The fourth proportional to 13,539.85, 20,307.72 and 4,656.53 is: 6,984.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,539.85 : 20,307.72 = 4,656.53 : x
  2. Step 2: Convert to fraction form
    13,539.85/20,307.72 = 4,656.53/x
  3. Step 3: Cross multiply
    13,539.85x = 20,307.72 × 4,656.53
  4. Step 4: Simplify right side
    13,539.85x = 94,563,507.41
  5. Step 5: Solve for x
    x = 94,563,507.41/13,539.85
  6. Step 6: Final answer
    x = 6,984.09

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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.