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Finding the Fourth Proportional to 10,672.16, 16,036.14 and 10,007.96

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Solution

The fourth proportional to 10,672.16, 16,036.14 and 10,007.96 is: 15,038.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672.16 : 16,036.14 = 10,007.96 : x
  2. Step 2: Convert to fraction form
    10,672.16/16,036.14 = 10,007.96/x
  3. Step 3: Cross multiply
    10,672.16x = 16,036.14 × 10,007.96
  4. Step 4: Simplify right side
    10,672.16x = 160,489,047.67
  5. Step 5: Solve for x
    x = 160,489,047.67/10,672.16
  6. Step 6: Final answer
    x = 15,038.10

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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.