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Finding the Fourth Proportional to 14,278.71, 19,701.88 and 9,242.24

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Solution

The fourth proportional to 14,278.71, 19,701.88 and 9,242.24 is: 12,752.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,278.71 : 19,701.88 = 9,242.24 : x
  2. Step 2: Convert to fraction form
    14,278.71/19,701.88 = 9,242.24/x
  3. Step 3: Cross multiply
    14,278.71x = 19,701.88 × 9,242.24
  4. Step 4: Simplify right side
    14,278.71x = 182,089,433.78
  5. Step 5: Solve for x
    x = 182,089,433.78/14,278.71
  6. Step 6: Final answer
    x = 12,752.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.