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Finding the Fourth Proportional to 15,903.96, 23,851.35 and 6,416.28

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Solution

The fourth proportional to 15,903.96, 23,851.35 and 6,416.28 is: 9,622.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,903.96 : 23,851.35 = 6,416.28 : x
  2. Step 2: Convert to fraction form
    15,903.96/23,851.35 = 6,416.28/x
  3. Step 3: Cross multiply
    15,903.96x = 23,851.35 × 6,416.28
  4. Step 4: Simplify right side
    15,903.96x = 153,036,939.98
  5. Step 5: Solve for x
    x = 153,036,939.98/15,903.96
  6. Step 6: Final answer
    x = 9,622.57

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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.