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Finding the Fourth Proportional to 13,007.70, 19,511.55 and 12,497.40

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Solution

The fourth proportional to 13,007.70, 19,511.55 and 12,497.40 is: 18,746.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,007.70 : 19,511.55 = 12,497.40 : x
  2. Step 2: Convert to fraction form
    13,007.70/19,511.55 = 12,497.40/x
  3. Step 3: Cross multiply
    13,007.70x = 19,511.55 × 12,497.40
  4. Step 4: Simplify right side
    13,007.70x = 243,843,644.97
  5. Step 5: Solve for x
    x = 243,843,644.97/13,007.70
  6. Step 6: Final answer
    x = 18,746.10

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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.