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Finding the Fourth Proportional to 13,139.01, 19,714.66 and 5,742.50

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Solution

The fourth proportional to 13,139.01, 19,714.66 and 5,742.50 is: 8,616.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,139.01 : 19,714.66 = 5,742.50 : x
  2. Step 2: Convert to fraction form
    13,139.01/19,714.66 = 5,742.50/x
  3. Step 3: Cross multiply
    13,139.01x = 19,714.66 × 5,742.50
  4. Step 4: Simplify right side
    13,139.01x = 113,211,501.80
  5. Step 5: Solve for x
    x = 113,211,501.80/13,139.01
  6. Step 6: Final answer
    x = 8,616.44

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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.