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Finding the Fourth Proportional to 15,683.94, 23,470.02 and 14,641.20

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Solution

The fourth proportional to 15,683.94, 23,470.02 and 14,641.20 is: 21,909.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,683.94 : 23,470.02 = 14,641.20 : x
  2. Step 2: Convert to fraction form
    15,683.94/23,470.02 = 14,641.20/x
  3. Step 3: Cross multiply
    15,683.94x = 23,470.02 × 14,641.20
  4. Step 4: Simplify right side
    15,683.94x = 343,629,256.82
  5. Step 5: Solve for x
    x = 343,629,256.82/15,683.94
  6. Step 6: Final answer
    x = 21,909.63

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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.