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Finding the Fourth Proportional to 15,513.50, 21,407 and 8,796.98

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Solution

The fourth proportional to 15,513.50, 21,407 and 8,796.98 is: 12,138.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,513.50 : 21,407 = 8,796.98 : x
  2. Step 2: Convert to fraction form
    15,513.50/21,407 = 8,796.98/x
  3. Step 3: Cross multiply
    15,513.50x = 21,407 × 8,796.98
  4. Step 4: Simplify right side
    15,513.50x = 188,316,950.86
  5. Step 5: Solve for x
    x = 188,316,950.86/15,513.50
  6. Step 6: Final answer
    x = 12,138.91

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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.