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Finding the Fourth Proportional to 21,176.22, 31,774.65 and 8,700

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Solution

The fourth proportional to 21,176.22, 31,774.65 and 8,700 is: 13,054.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,176.22 : 31,774.65 = 8,700 : x
  2. Step 2: Convert to fraction form
    21,176.22/31,774.65 = 8,700/x
  3. Step 3: Cross multiply
    21,176.22x = 31,774.65 × 8,700
  4. Step 4: Simplify right side
    21,176.22x = 276,439,455
  5. Step 5: Solve for x
    x = 276,439,455/21,176.22
  6. Step 6: Final answer
    x = 13,054.24

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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.