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Finding the Fourth Proportional to 19,378.36, 29,088.02 and 9,000.12

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Solution

The fourth proportional to 19,378.36, 29,088.02 and 9,000.12 is: 13,509.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,378.36 : 29,088.02 = 9,000.12 : x
  2. Step 2: Convert to fraction form
    19,378.36/29,088.02 = 9,000.12/x
  3. Step 3: Cross multiply
    19,378.36x = 29,088.02 × 9,000.12
  4. Step 4: Simplify right side
    19,378.36x = 261,795,670.56
  5. Step 5: Solve for x
    x = 261,795,670.56/19,378.36
  6. Step 6: Final answer
    x = 13,509.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.