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Finding the Fourth Proportional to 16,509.33, 22,777.34 and 9,430.74

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Solution

The fourth proportional to 16,509.33, 22,777.34 and 9,430.74 is: 13,011.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509.33 : 22,777.34 = 9,430.74 : x
  2. Step 2: Convert to fraction form
    16,509.33/22,777.34 = 9,430.74/x
  3. Step 3: Cross multiply
    16,509.33x = 22,777.34 × 9,430.74
  4. Step 4: Simplify right side
    16,509.33x = 214,807,124.28
  5. Step 5: Solve for x
    x = 214,807,124.28/16,509.33
  6. Step 6: Final answer
    x = 13,011.26

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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.