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Finding the Fourth Proportional to 12,430.64, 18,641.52 and 4,109.12

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Solution

The fourth proportional to 12,430.64, 18,641.52 and 4,109.12 is: 6,162.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,430.64 : 18,641.52 = 4,109.12 : x
  2. Step 2: Convert to fraction form
    12,430.64/18,641.52 = 4,109.12/x
  3. Step 3: Cross multiply
    12,430.64x = 18,641.52 × 4,109.12
  4. Step 4: Simplify right side
    12,430.64x = 76,600,242.66
  5. Step 5: Solve for x
    x = 76,600,242.66/12,430.64
  6. Step 6: Final answer
    x = 6,162.21

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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.