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Finding the Fourth Proportional to 14,215.32, 19,618.02 and 7,841.88

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Solution

The fourth proportional to 14,215.32, 19,618.02 and 7,841.88 is: 10,822.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,215.32 : 19,618.02 = 7,841.88 : x
  2. Step 2: Convert to fraction form
    14,215.32/19,618.02 = 7,841.88/x
  3. Step 3: Cross multiply
    14,215.32x = 19,618.02 × 7,841.88
  4. Step 4: Simplify right side
    14,215.32x = 153,842,158.68
  5. Step 5: Solve for x
    x = 153,842,158.68/14,215.32
  6. Step 6: Final answer
    x = 10,822.28

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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.