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Finding the Fourth Proportional to 16,712, 23,063.04 and 9,260.48

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Solution

The fourth proportional to 16,712, 23,063.04 and 9,260.48 is: 12,779.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,712 : 23,063.04 = 9,260.48 : x
  2. Step 2: Convert to fraction form
    16,712/23,063.04 = 9,260.48/x
  3. Step 3: Cross multiply
    16,712x = 23,063.04 × 9,260.48
  4. Step 4: Simplify right side
    16,712x = 213,574,820.66
  5. Step 5: Solve for x
    x = 213,574,820.66/16,712
  6. Step 6: Final answer
    x = 12,779.73

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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.