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Finding the Fourth Proportional to 12,705.48, 17,533.50 and 7,327.89

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Solution

The fourth proportional to 12,705.48, 17,533.50 and 7,327.89 is: 10,112.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,705.48 : 17,533.50 = 7,327.89 : x
  2. Step 2: Convert to fraction form
    12,705.48/17,533.50 = 7,327.89/x
  3. Step 3: Cross multiply
    12,705.48x = 17,533.50 × 7,327.89
  4. Step 4: Simplify right side
    12,705.48x = 128,483,559.32
  5. Step 5: Solve for x
    x = 128,483,559.32/12,705.48
  6. Step 6: Final answer
    x = 10,112.45

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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.