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Finding the Fourth Proportional to 14,509.83, 20,023.27 and 9,464.47

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Solution

The fourth proportional to 14,509.83, 20,023.27 and 9,464.47 is: 13,060.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,509.83 : 20,023.27 = 9,464.47 : x
  2. Step 2: Convert to fraction form
    14,509.83/20,023.27 = 9,464.47/x
  3. Step 3: Cross multiply
    14,509.83x = 20,023.27 × 9,464.47
  4. Step 4: Simplify right side
    14,509.83x = 189,509,638.22
  5. Step 5: Solve for x
    x = 189,509,638.22/14,509.83
  6. Step 6: Final answer
    x = 13,060.78

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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.