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Finding the Fourth Proportional to 21,035.76, 31,543.92 and 7,878.72

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Solution

The fourth proportional to 21,035.76, 31,543.92 and 7,878.72 is: 11,814.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,035.76 : 31,543.92 = 7,878.72 : x
  2. Step 2: Convert to fraction form
    21,035.76/31,543.92 = 7,878.72/x
  3. Step 3: Cross multiply
    21,035.76x = 31,543.92 × 7,878.72
  4. Step 4: Simplify right side
    21,035.76x = 248,525,713.38
  5. Step 5: Solve for x
    x = 248,525,713.38/21,035.76
  6. Step 6: Final answer
    x = 11,814.44

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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.