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Finding the Fourth Proportional to 16,501.16, 22,771.77 and 8,947.51

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Solution

The fourth proportional to 16,501.16, 22,771.77 and 8,947.51 is: 12,347.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,501.16 : 22,771.77 = 8,947.51 : x
  2. Step 2: Convert to fraction form
    16,501.16/22,771.77 = 8,947.51/x
  3. Step 3: Cross multiply
    16,501.16x = 22,771.77 × 8,947.51
  4. Step 4: Simplify right side
    16,501.16x = 203,750,639.79
  5. Step 5: Solve for x
    x = 203,750,639.79/16,501.16
  6. Step 6: Final answer
    x = 12,347.66

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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.