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Finding the Fourth Proportional to 14,397.76, 19,870.68 and 8,110

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Solution

The fourth proportional to 14,397.76, 19,870.68 and 8,110 is: 11,192.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,397.76 : 19,870.68 = 8,110 : x
  2. Step 2: Convert to fraction form
    14,397.76/19,870.68 = 8,110/x
  3. Step 3: Cross multiply
    14,397.76x = 19,870.68 × 8,110
  4. Step 4: Simplify right side
    14,397.76x = 161,151,214.80
  5. Step 5: Solve for x
    x = 161,151,214.80/14,397.76
  6. Step 6: Final answer
    x = 11,192.80

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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.