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Finding the Fourth Proportional to 14,430.56, 21,638.16 and 8,509.92

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Solution

The fourth proportional to 14,430.56, 21,638.16 and 8,509.92 is: 12,760.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,430.56 : 21,638.16 = 8,509.92 : x
  2. Step 2: Convert to fraction form
    14,430.56/21,638.16 = 8,509.92/x
  3. Step 3: Cross multiply
    14,430.56x = 21,638.16 × 8,509.92
  4. Step 4: Simplify right side
    14,430.56x = 184,139,010.55
  5. Step 5: Solve for x
    x = 184,139,010.55/14,430.56
  6. Step 6: Final answer
    x = 12,760.35

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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.