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Finding the Fourth Proportional to 13,421.08, 20,113.80 and 6,024.16

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Solution

The fourth proportional to 13,421.08, 20,113.80 and 6,024.16 is: 9,028.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,421.08 : 20,113.80 = 6,024.16 : x
  2. Step 2: Convert to fraction form
    13,421.08/20,113.80 = 6,024.16/x
  3. Step 3: Cross multiply
    13,421.08x = 20,113.80 × 6,024.16
  4. Step 4: Simplify right side
    13,421.08x = 121,168,749.41
  5. Step 5: Solve for x
    x = 121,168,749.41/13,421.08
  6. Step 6: Final answer
    x = 9,028.24

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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.