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Finding the Fourth Proportional to 13,641.24, 20,461.86 and 9,023.16

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Solution

The fourth proportional to 13,641.24, 20,461.86 and 9,023.16 is: 13,534.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,641.24 : 20,461.86 = 9,023.16 : x
  2. Step 2: Convert to fraction form
    13,641.24/20,461.86 = 9,023.16/x
  3. Step 3: Cross multiply
    13,641.24x = 20,461.86 × 9,023.16
  4. Step 4: Simplify right side
    13,641.24x = 184,630,636.68
  5. Step 5: Solve for x
    x = 184,630,636.68/13,641.24
  6. Step 6: Final answer
    x = 13,534.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.