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Finding the Fourth Proportional to 13,697.60, 20,547.84 and 4,461.44

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Solution

The fourth proportional to 13,697.60, 20,547.84 and 4,461.44 is: 6,692.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697.60 : 20,547.84 = 4,461.44 : x
  2. Step 2: Convert to fraction form
    13,697.60/20,547.84 = 4,461.44/x
  3. Step 3: Cross multiply
    13,697.60x = 20,547.84 × 4,461.44
  4. Step 4: Simplify right side
    13,697.60x = 91,672,955.29
  5. Step 5: Solve for x
    x = 91,672,955.29/13,697.60
  6. Step 6: Final answer
    x = 6,692.63

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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.