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Finding the Fourth Proportional to 14,100.64, 19,458.48 and 7,812.88

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Solution

The fourth proportional to 14,100.64, 19,458.48 and 7,812.88 is: 10,781.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,100.64 : 19,458.48 = 7,812.88 : x
  2. Step 2: Convert to fraction form
    14,100.64/19,458.48 = 7,812.88/x
  3. Step 3: Cross multiply
    14,100.64x = 19,458.48 × 7,812.88
  4. Step 4: Simplify right side
    14,100.64x = 152,026,769.22
  5. Step 5: Solve for x
    x = 152,026,769.22/14,100.64
  6. Step 6: Final answer
    x = 10,781.55

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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.