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Finding the Fourth Proportional to 13,284.90, 19,901.84 and 7,423.74

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Solution

The fourth proportional to 13,284.90, 19,901.84 and 7,423.74 is: 11,121.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,284.90 : 19,901.84 = 7,423.74 : x
  2. Step 2: Convert to fraction form
    13,284.90/19,901.84 = 7,423.74/x
  3. Step 3: Cross multiply
    13,284.90x = 19,901.84 × 7,423.74
  4. Step 4: Simplify right side
    13,284.90x = 147,746,048.56
  5. Step 5: Solve for x
    x = 147,746,048.56/13,284.90
  6. Step 6: Final answer
    x = 11,121.35

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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.