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Finding the Fourth Proportional to 16,260, 22,430.16 and 10,945.76

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Solution

The fourth proportional to 16,260, 22,430.16 and 10,945.76 is: 15,099.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,260 : 22,430.16 = 10,945.76 : x
  2. Step 2: Convert to fraction form
    16,260/22,430.16 = 10,945.76/x
  3. Step 3: Cross multiply
    16,260x = 22,430.16 × 10,945.76
  4. Step 4: Simplify right side
    16,260x = 245,515,148.12
  5. Step 5: Solve for x
    x = 245,515,148.12/16,260
  6. Step 6: Final answer
    x = 15,099.33

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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.