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Finding the Fourth Proportional to 12,027.90, 16,587.75 and 7,552.07

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Solution

The fourth proportional to 12,027.90, 16,587.75 and 7,552.07 is: 10,415.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,027.90 : 16,587.75 = 7,552.07 : x
  2. Step 2: Convert to fraction form
    12,027.90/16,587.75 = 7,552.07/x
  3. Step 3: Cross multiply
    12,027.90x = 16,587.75 × 7,552.07
  4. Step 4: Simplify right side
    12,027.90x = 125,271,849.14
  5. Step 5: Solve for x
    x = 125,271,849.14/12,027.90
  6. Step 6: Final answer
    x = 10,415.11

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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.