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Finding the Fourth Proportional to 13,000.32, 19,498.46 and 4,235.18

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Solution

The fourth proportional to 13,000.32, 19,498.46 and 4,235.18 is: 6,352.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.32 : 19,498.46 = 4,235.18 : x
  2. Step 2: Convert to fraction form
    13,000.32/19,498.46 = 4,235.18/x
  3. Step 3: Cross multiply
    13,000.32x = 19,498.46 × 4,235.18
  4. Step 4: Simplify right side
    13,000.32x = 82,579,369.15
  5. Step 5: Solve for x
    x = 82,579,369.15/13,000.32
  6. Step 6: Final answer
    x = 6,352.10

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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.