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Finding the Fourth Proportional to 34,264.07, 51,389 and 13,196.87

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Solution

The fourth proportional to 34,264.07, 51,389 and 13,196.87 is: 19,792.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,264.07 : 51,389 = 13,196.87 : x
  2. Step 2: Convert to fraction form
    34,264.07/51,389 = 13,196.87/x
  3. Step 3: Cross multiply
    34,264.07x = 51,389 × 13,196.87
  4. Step 4: Simplify right side
    34,264.07x = 678,173,952.43
  5. Step 5: Solve for x
    x = 678,173,952.43/34,264.07
  6. Step 6: Final answer
    x = 19,792.57

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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.