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Finding the Fourth Proportional to 14,485.10, 21,731.76 and 7,470.24

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Solution

The fourth proportional to 14,485.10, 21,731.76 and 7,470.24 is: 11,207.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,485.10 : 21,731.76 = 7,470.24 : x
  2. Step 2: Convert to fraction form
    14,485.10/21,731.76 = 7,470.24/x
  3. Step 3: Cross multiply
    14,485.10x = 21,731.76 × 7,470.24
  4. Step 4: Simplify right side
    14,485.10x = 162,341,462.82
  5. Step 5: Solve for x
    x = 162,341,462.82/14,485.10
  6. Step 6: Final answer
    x = 11,207.48

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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.