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Finding the Fourth Proportional to 19,282.64, 28,924.81 and 6,802.76

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Solution

The fourth proportional to 19,282.64, 28,924.81 and 6,802.76 is: 10,204.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,282.64 : 28,924.81 = 6,802.76 : x
  2. Step 2: Convert to fraction form
    19,282.64/28,924.81 = 6,802.76/x
  3. Step 3: Cross multiply
    19,282.64x = 28,924.81 × 6,802.76
  4. Step 4: Simplify right side
    19,282.64x = 196,768,595.78
  5. Step 5: Solve for x
    x = 196,768,595.78/19,282.64
  6. Step 6: Final answer
    x = 10,204.45

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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.