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Finding the Fourth Proportional to 15,877.21, 23,814.13 and 6,518.22

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Solution

The fourth proportional to 15,877.21, 23,814.13 and 6,518.22 is: 9,776.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,877.21 : 23,814.13 = 6,518.22 : x
  2. Step 2: Convert to fraction form
    15,877.21/23,814.13 = 6,518.22/x
  3. Step 3: Cross multiply
    15,877.21x = 23,814.13 × 6,518.22
  4. Step 4: Simplify right side
    15,877.21x = 155,225,738.45
  5. Step 5: Solve for x
    x = 155,225,738.45/15,877.21
  6. Step 6: Final answer
    x = 9,776.64

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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.