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Finding the Fourth Proportional to 19,283.40, 28,929.33 and 8,199.57

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Solution

The fourth proportional to 19,283.40, 28,929.33 and 8,199.57 is: 12,301.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,283.40 : 28,929.33 = 8,199.57 : x
  2. Step 2: Convert to fraction form
    19,283.40/28,929.33 = 8,199.57/x
  3. Step 3: Cross multiply
    19,283.40x = 28,929.33 × 8,199.57
  4. Step 4: Simplify right side
    19,283.40x = 237,208,066.39
  5. Step 5: Solve for x
    x = 237,208,066.39/19,283.40
  6. Step 6: Final answer
    x = 12,301.15

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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.