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Finding the Fourth Proportional to 10,814.16, 16,201.80 and 10,056

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Solution

The fourth proportional to 10,814.16, 16,201.80 and 10,056 is: 15,065.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814.16 : 16,201.80 = 10,056 : x
  2. Step 2: Convert to fraction form
    10,814.16/16,201.80 = 10,056/x
  3. Step 3: Cross multiply
    10,814.16x = 16,201.80 × 10,056
  4. Step 4: Simplify right side
    10,814.16x = 162,925,300.80
  5. Step 5: Solve for x
    x = 162,925,300.80/10,814.16
  6. Step 6: Final answer
    x = 15,065.92

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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.