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Finding the Fourth Proportional to 23,130.95, 34,695.81 and 6,491.12

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Solution

The fourth proportional to 23,130.95, 34,695.81 and 6,491.12 is: 9,736.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,130.95 : 34,695.81 = 6,491.12 : x
  2. Step 2: Convert to fraction form
    23,130.95/34,695.81 = 6,491.12/x
  3. Step 3: Cross multiply
    23,130.95x = 34,695.81 × 6,491.12
  4. Step 4: Simplify right side
    23,130.95x = 225,214,492.73
  5. Step 5: Solve for x
    x = 225,214,492.73/23,130.95
  6. Step 6: Final answer
    x = 9,736.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.