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Finding the Fourth Proportional to 12,305.06, 16,973.76 and 7,586

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Solution

The fourth proportional to 12,305.06, 16,973.76 and 7,586 is: 10,464.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,305.06 : 16,973.76 = 7,586 : x
  2. Step 2: Convert to fraction form
    12,305.06/16,973.76 = 7,586/x
  3. Step 3: Cross multiply
    12,305.06x = 16,973.76 × 7,586
  4. Step 4: Simplify right side
    12,305.06x = 128,762,943.36
  5. Step 5: Solve for x
    x = 128,762,943.36/12,305.06
  6. Step 6: Final answer
    x = 10,464.23

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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.