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Finding the Fourth Proportional to 14,570.66, 21,824.40 and 9,025.40

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Solution

The fourth proportional to 14,570.66, 21,824.40 and 9,025.40 is: 13,518.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,570.66 : 21,824.40 = 9,025.40 : x
  2. Step 2: Convert to fraction form
    14,570.66/21,824.40 = 9,025.40/x
  3. Step 3: Cross multiply
    14,570.66x = 21,824.40 × 9,025.40
  4. Step 4: Simplify right side
    14,570.66x = 196,973,939.76
  5. Step 5: Solve for x
    x = 196,973,939.76/14,570.66
  6. Step 6: Final answer
    x = 13,518.53

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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.