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Finding the Fourth Proportional to 13,461.40, 18,576.34 and 7,492.95

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Solution

The fourth proportional to 13,461.40, 18,576.34 and 7,492.95 is: 10,340.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,461.40 : 18,576.34 = 7,492.95 : x
  2. Step 2: Convert to fraction form
    13,461.40/18,576.34 = 7,492.95/x
  3. Step 3: Cross multiply
    13,461.40x = 18,576.34 × 7,492.95
  4. Step 4: Simplify right side
    13,461.40x = 139,191,586.80
  5. Step 5: Solve for x
    x = 139,191,586.80/13,461.40
  6. Step 6: Final answer
    x = 10,340.05

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Why These Related Problems?

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