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Finding the Fourth Proportional to 13,492.68, 18,622.36 and 8,461.30

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Solution

The fourth proportional to 13,492.68, 18,622.36 and 8,461.30 is: 11,678.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,492.68 : 18,622.36 = 8,461.30 : x
  2. Step 2: Convert to fraction form
    13,492.68/18,622.36 = 8,461.30/x
  3. Step 3: Cross multiply
    13,492.68x = 18,622.36 × 8,461.30
  4. Step 4: Simplify right side
    13,492.68x = 157,569,374.67
  5. Step 5: Solve for x
    x = 157,569,374.67/13,492.68
  6. Step 6: Final answer
    x = 11,678.14

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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.