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Finding the Fourth Proportional to 12,134.52, 16,703.53 and 10,461.46

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Solution

The fourth proportional to 12,134.52, 16,703.53 and 10,461.46 is: 14,400.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,134.52 : 16,703.53 = 10,461.46 : x
  2. Step 2: Convert to fraction form
    12,134.52/16,703.53 = 10,461.46/x
  3. Step 3: Cross multiply
    12,134.52x = 16,703.53 × 10,461.46
  4. Step 4: Simplify right side
    12,134.52x = 174,743,258.65
  5. Step 5: Solve for x
    x = 174,743,258.65/12,134.52
  6. Step 6: Final answer
    x = 14,400.51

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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.