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Finding the Fourth Proportional to 13,973.50, 19,283.33 and 7,924.89

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Solution

The fourth proportional to 13,973.50, 19,283.33 and 7,924.89 is: 10,936.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,973.50 : 19,283.33 = 7,924.89 : x
  2. Step 2: Convert to fraction form
    13,973.50/19,283.33 = 7,924.89/x
  3. Step 3: Cross multiply
    13,973.50x = 19,283.33 × 7,924.89
  4. Step 4: Simplify right side
    13,973.50x = 152,818,252.74
  5. Step 5: Solve for x
    x = 152,818,252.74/13,973.50
  6. Step 6: Final answer
    x = 10,936.29

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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.