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Finding the Fourth Proportional to 10,242.58, 15,350.46 and 9,985

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Solution

The fourth proportional to 10,242.58, 15,350.46 and 9,985 is: 14,964.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,242.58 : 15,350.46 = 9,985 : x
  2. Step 2: Convert to fraction form
    10,242.58/15,350.46 = 9,985/x
  3. Step 3: Cross multiply
    10,242.58x = 15,350.46 × 9,985
  4. Step 4: Simplify right side
    10,242.58x = 153,274,343.10
  5. Step 5: Solve for x
    x = 153,274,343.10/10,242.58
  6. Step 6: Final answer
    x = 14,964.43

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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.