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Finding the Fourth Proportional to 10,690.56, 16,047.36 and 10,022.40

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Solution

The fourth proportional to 10,690.56, 16,047.36 and 10,022.40 is: 15,044.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,690.56 : 16,047.36 = 10,022.40 : x
  2. Step 2: Convert to fraction form
    10,690.56/16,047.36 = 10,022.40/x
  3. Step 3: Cross multiply
    10,690.56x = 16,047.36 × 10,022.40
  4. Step 4: Simplify right side
    10,690.56x = 160,833,060.86
  5. Step 5: Solve for x
    x = 160,833,060.86/10,690.56
  6. Step 6: Final answer
    x = 15,044.40

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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.