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Finding the Fourth Proportional to 13,461.68, 18,577.10 and 7,493.87

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Solution

The fourth proportional to 13,461.68, 18,577.10 and 7,493.87 is: 10,341.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,461.68 : 18,577.10 = 7,493.87 : x
  2. Step 2: Convert to fraction form
    13,461.68/18,577.10 = 7,493.87/x
  3. Step 3: Cross multiply
    13,461.68x = 18,577.10 × 7,493.87
  4. Step 4: Simplify right side
    13,461.68x = 139,214,242.02
  5. Step 5: Solve for x
    x = 139,214,242.02/13,461.68
  6. Step 6: Final answer
    x = 10,341.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.