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Finding the Fourth Proportional to 13,478.67, 18,599.90 and 7,510.86

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Solution

The fourth proportional to 13,478.67, 18,599.90 and 7,510.86 is: 10,364.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478.67 : 18,599.90 = 7,510.86 : x
  2. Step 2: Convert to fraction form
    13,478.67/18,599.90 = 7,510.86/x
  3. Step 3: Cross multiply
    13,478.67x = 18,599.90 × 7,510.86
  4. Step 4: Simplify right side
    13,478.67x = 139,701,207.36
  5. Step 5: Solve for x
    x = 139,701,207.36/13,478.67
  6. Step 6: Final answer
    x = 10,364.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.