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Finding the Fourth Proportional to 14,857.56, 22,294.02 and 9,024.60

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Solution

The fourth proportional to 14,857.56, 22,294.02 and 9,024.60 is: 13,541.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,857.56 : 22,294.02 = 9,024.60 : x
  2. Step 2: Convert to fraction form
    14,857.56/22,294.02 = 9,024.60/x
  3. Step 3: Cross multiply
    14,857.56x = 22,294.02 × 9,024.60
  4. Step 4: Simplify right side
    14,857.56x = 201,194,612.89
  5. Step 5: Solve for x
    x = 201,194,612.89/14,857.56
  6. Step 6: Final answer
    x = 13,541.56

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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.