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Finding the Fourth Proportional to 14,214.58, 19,617.32 and 7,841.76

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Solution

The fourth proportional to 14,214.58, 19,617.32 and 7,841.76 is: 10,822.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,214.58 : 19,617.32 = 7,841.76 : x
  2. Step 2: Convert to fraction form
    14,214.58/19,617.32 = 7,841.76/x
  3. Step 3: Cross multiply
    14,214.58x = 19,617.32 × 7,841.76
  4. Step 4: Simplify right side
    14,214.58x = 153,834,315.28
  5. Step 5: Solve for x
    x = 153,834,315.28/14,214.58
  6. Step 6: Final answer
    x = 10,822.29

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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.