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Finding the Fourth Proportional to 16,509.16, 22,783.44 and 9,437.92

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Solution

The fourth proportional to 16,509.16, 22,783.44 and 9,437.92 is: 13,024.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509.16 : 22,783.44 = 9,437.92 : x
  2. Step 2: Convert to fraction form
    16,509.16/22,783.44 = 9,437.92/x
  3. Step 3: Cross multiply
    16,509.16x = 22,783.44 × 9,437.92
  4. Step 4: Simplify right side
    16,509.16x = 215,028,284.04
  5. Step 5: Solve for x
    x = 215,028,284.04/16,509.16
  6. Step 6: Final answer
    x = 13,024.79

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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.